Given numbers are 610,980,128,896

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

The LCM of 610,980,128,896 is 1912960.

Find LCM of 610,980,128,896 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 61 x 1 x 1 x 7 = 1912960

Therefore, the lowest common multiple of 610,980,128,896 is 1912960.

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.

610 x 980 x 128 x 896 = 68560486400

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

128 : 1, 2, 4, 8, 16, 32, 64, 128

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,980,128,896, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

980:2x 2x 5x 7x 7

128:2x 2x 2x 2x 2x 2x 2

896:2x 2x 2x 2x 2x 2x 2x 7

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 2x 2x 2x 5x 7 = 17920

Therefore, the value for common factors is 17920.

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 = 68560486400/(2x17920)

LCM = 68560486400/35840

LCM = 1912960

Thus, we can understand that the LCM of 610,980,128,896 is 1912960.

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

• LCM of 175, 755, 272, 401
• LCM of 791, 147, 832, 663
• LCM of 786, 390, 121, 697
• LCM of 887, 802, 206, 457
• LCM of 782, 266, 359, 942

1. What is the LCM of 610, 980, 128, 896?

Answer: LCM of 610, 980, 128, 896 is 1912960.

2. How to calculate the LCM of 610, 980, 128, 896?

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 610, 980, 128, 896.

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}.