Given numbers are 676,986,368,624

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

The LCM of 676,986,368,624 is 91981968.

Find LCM of 676,986,368,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 13 x 493 x 23 x 3 = 91981968

Therefore, the lowest common multiple of 676,986,368,624 is 91981968.

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.

676 x 986 x 368 x 624 = 153057994752

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

986 : 1, 2, 17, 29, 34, 58, 493, 986

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,986,368,624, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

986:2x 17x 29

368:2x 2x 2x 2x 23

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

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 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 153057994752/(2x832)

LCM = 153057994752/1664

LCM = 91981968

Thus, we can understand that the LCM of 676,986,368,624 is 91981968.

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

• LCM of 303, 828, 404, 982
• LCM of 514, 243, 112, 151
• LCM of 669, 176, 634, 524
• LCM of 458, 627, 640, 364
• LCM of 423, 158, 601, 551

1. What is the LCM of 676, 986, 368, 624?

Answer: LCM of 676, 986, 368, 624 is 91981968.

2. How to calculate the LCM of 676, 986, 368, 624?

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 676, 986, 368, 624.

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}.