Given numbers are 988,540,392,672

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

The LCM of 988,540,392,672 is 52284960.

Find LCM of 988,540,392,672 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 247 x 45 x 7 x 4 = 52284960

Therefore, the lowest common multiple of 988,540,392,672 is 52284960.

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.

988 x 540 x 392 x 672 = 140541972480

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.

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,540,392,672, is 4.

Now, the common factors can be found like this.

988:2x 2x 13x 19

540:2x 2x 3x 3x 3x 5

392:2x 2x 2x 7x 7

672:2x 2x 2x 2x 2x 3x 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 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 140541972480/(4x672)

LCM = 140541972480/2688

LCM = 52284960

Thus, we can understand that the LCM of 988,540,392,672 is 52284960.

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

• LCM of 772, 724, 471, 986
• LCM of 301, 392, 982, 143
• LCM of 447, 614, 686, 662
• LCM of 423, 764, 215, 858
• LCM of 843, 581, 243, 517

1. What is the LCM of 988, 540, 392, 672?

Answer: LCM of 988, 540, 392, 672 is 52284960.

2. How to calculate the LCM of 988, 540, 392, 672?

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 988, 540, 392, 672.

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}.