Given numbers are 107,900,638,970

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

The LCM of 107,900,638,970 is 2979810900.

Find LCM of 107,900,638,970 with Prime Factorization

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

2 x 5 x 107 x 90 x 319 x 97 = 2979810900

Therefore, the lowest common multiple of 107,900,638,970 is 2979810900.

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.

107 x 900 x 638 x 970 = 59596218000

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.

107 : 1, 107

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

638 : 1, 2, 11, 22, 29, 58, 319, 638

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 107,900,638,970, is 1.

Now, the common factors can be found like this.

107:107

900:2x 2x 3x 3x 5x 5

638:2x 11x 29

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 5 = 20

Therefore, the value for common factors is 20.

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 = 59596218000/(1x20)

LCM = 59596218000/20

LCM = 2979810900

Thus, we can understand that the LCM of 107,900,638,970 is 2979810900.

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

• LCM of 427, 356, 696, 812
• LCM of 854, 703, 480, 298
• LCM of 822, 273, 941, 524
• LCM of 241, 359, 112, 290
• LCM of 344, 145, 454, 189

1. What is the LCM of 107, 900, 638, 970?

Answer: LCM of 107, 900, 638, 970 is 2979810900.

2. How to calculate the LCM of 107, 900, 638, 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 107, 900, 638, 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}.