Given numbers are 968,546,624,297,869

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

The LCM of 968,546,624,297,869 is 375783408.

Find LCM of 968,546,624,297,869 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 11 x 7 x 2 x 9 x 79 = 375783408

Therefore, the lowest common multiple of 968,546,624,297,869 is 375783408.

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.

968 x 546 x 624 x 297 x 869 = 85119451312896

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,546,624,297,869, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

546:2x 3x 7x 13

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

297:3x 3x 3x 11

869:11x 79

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 2x 2x 3x 3x 11x 11x 13 = 226512

Therefore, the value for common factors is 226512.

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 = 85119451312896/(1x226512)

LCM = 85119451312896/226512

LCM = 375783408

Thus, we can understand that the LCM of 968,546,624,297,869 is 375783408.

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

• LCM of 964, 765, 303, 603, 398
• LCM of 840, 426, 404, 244, 484
• LCM of 761, 948, 783, 559, 969
• LCM of 187, 361, 188, 934, 813
• LCM of 233, 839, 508, 695, 813

1. What is the LCM of 968, 546, 624, 297, 869?

Answer: LCM of 968, 546, 624, 297, 869 is 375783408.

2. How to calculate the LCM of 968, 546, 624, 297, 869?

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 968, 546, 624, 297, 869.

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}.