Given numbers are 214,937,726,920,970

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

The LCM of 214,937,726,920,970 is 3247802077080.

Find LCM of 214,937,726,920,970 with Prime Factorization

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

2 x 5 x 107 x 937 x 363 x 92 x 97 = 3247802077080

Therefore, the lowest common multiple of 214,937,726,920,970 is 3247802077080.

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.

214 x 937 x 726 x 920 x 970 = 129912083083200

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.

214 : 1, 2, 107, 214

937 : 1, 937

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,937,726,920,970, is 1.

Now, the common factors can be found like this.

214:2x 107

937:937

726:2x 3x 11x 11

920:2x 2x 2x 5x 23

970:2x 5x 97

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 5 = 40

Therefore, the value for common factors is 40.

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 = 129912083083200/(1x40)

LCM = 129912083083200/40

LCM = 3247802077080

Thus, we can understand that the LCM of 214,937,726,920,970 is 3247802077080.

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

• LCM of 370, 543, 353, 369, 282
• LCM of 647, 839, 509, 200, 381
• LCM of 526, 293, 629, 611, 429
• LCM of 233, 816, 497, 925, 730
• LCM of 300, 561, 895, 568, 712

1. What is the LCM of 214, 937, 726, 920, 970?

Answer: LCM of 214, 937, 726, 920, 970 is 3247802077080.

2. How to calculate the LCM of 214, 937, 726, 920, 970?

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 214, 937, 726, 920, 970.

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}.