Given numbers are 970,720,832,988

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

The LCM of 970,720,832,988 is 69001920.

Find LCM of 970,720,832,988 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 13 x 97 x 9 x 4 x 19 = 69001920

Therefore, the lowest common multiple of 970,720,832,988 is 69001920.

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.

970 x 720 x 832 x 988 = 574095974400

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.

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,720,832,988, is 2.

Now, the common factors can be found like this.

970:2x 5x 97

720:2x 2x 2x 2x 3x 3x 5

832:2x 2x 2x 2x 2x 2x 13

988:2x 2x 13x 19

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 5x 13 = 4160

Therefore, the value for common factors is 4160.

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 = 574095974400/(2x4160)

LCM = 574095974400/8320

LCM = 69001920

Thus, we can understand that the LCM of 970,720,832,988 is 69001920.

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

• LCM of 109, 288, 710, 739
• LCM of 151, 851, 420, 243
• LCM of 685, 735, 963, 198
• LCM of 262, 298, 783, 586
• LCM of 518, 285, 433, 333

1. What is the LCM of 970, 720, 832, 988?

Answer: LCM of 970, 720, 832, 988 is 69001920.

2. How to calculate the LCM of 970, 720, 832, 988?

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 970, 720, 832, 988.

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}.