Least Common Multiple of 49 and 60

How to find the Least Common Multiple of 49 and 60?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 60.

Follow the steps below, and let's calculate the LCM of 49 and 60.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 49 and 60:

Prime factors of 49

The prime factors of 49 are 7 and 7. Prime factorization of 49 in exponential form is:

49 = 7²

Prime factors of 60

The prime factors of 60 are 2, 2, 3 and 5. Prime factorization of 60 in exponential form is:

60 = 2²x3¹x5¹

Step 2: Identify the highest power of each prime number from the above boxes:

7², 2², 3¹, 5¹

Step 3: Multiply these values together:

7²x2²x3¹x5¹=2940

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 49 and 60.

The Least Common Multiple of 49 and 60 is 2940.

Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 49:

49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087

Multiples of 60:

60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120