Given numbers are 624,660,975,965,359

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 624,660,975,965,359 is 11889649200.

Find LCM of 624,660,975,965,359 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 13 x 4 x 11 x 5 x 193 x 359 = 11889649200

Therefore, the lowest common multiple of 624,660,975,965,359 is 11889649200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

624 x 660 x 975 x 965 x 359 = 139108895640000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

965 : 1, 5, 193, 965

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,660,975,965,359, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

660:2x 2x 3x 5x 11

975:3x 5x 5x 13

965:5x 193

359:359

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 5x 5x 13 = 11700

Therefore, the value for common factors is 11700.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 139108895640000/(1x11700)

LCM = 139108895640000/11700

LCM = 11889649200

Thus, we can understand that the LCM of 624,660,975,965,359 is 11889649200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 549, 550, 744, 252, 976
• LCM of 670, 519, 114, 730, 137
• LCM of 319, 969, 756, 702, 782
• LCM of 686, 688, 290, 191, 724
• LCM of 819, 477, 769, 998, 407

1. What is the LCM of 624, 660, 975, 965, 359?

Answer: LCM of 624, 660, 975, 965, 359 is 11889649200.

2. How to calculate the LCM of 624, 660, 975, 965, 359?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 624, 660, 975, 965, 359.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.