Given numbers are 974,646,506,706

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

The LCM of 974,646,506,706 is 28096790018.

Find LCM of 974,646,506,706 with Prime Factorization

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

2 x 487 x 323 x 253 x 353 = 28096790018

Therefore, the lowest common multiple of 974,646,506,706 is 28096790018.

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.

974 x 646 x 506 x 706 = 224774320144

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.

974 : 1, 2, 487, 974

646 : 1, 2, 17, 19, 34, 38, 323, 646

506 : 1, 2, 11, 22, 23, 46, 253, 506

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,646,506,706, is 2.

Now, the common factors can be found like this.

974:2x 487

646:2x 17x 19

506:2x 11x 23

706:2x 353

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 224774320144/(2x4)

LCM = 224774320144/8

LCM = 28096790018

Thus, we can understand that the LCM of 974,646,506,706 is 28096790018.

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

• LCM of 633, 633, 422, 327
• LCM of 224, 611, 722, 855
• LCM of 543, 749, 113, 544
• LCM of 653, 830, 292, 722
• LCM of 172, 869, 142, 164

1. What is the LCM of 974, 646, 506, 706?

Answer: LCM of 974, 646, 506, 706 is 28096790018.

2. How to calculate the LCM of 974, 646, 506, 706?

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 974, 646, 506, 706.

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}.