Given numbers are 358,936,724,748

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

The LCM of 358,936,724,748 is 5670861768.

Find LCM of 358,936,724,748 with Prime Factorization

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

2 x 2 x 179 x 234 x 181 x 187 = 5670861768

Therefore, the lowest common multiple of 358,936,724,748 is 5670861768.

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.

358 x 936 x 724 x 748 = 181467576576

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.

358 : 1, 2, 179, 358

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

724 : 1, 2, 4, 181, 362, 724

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,936,724,748, is 2.

Now, the common factors can be found like this.

358:2x 179

936:2x 2x 2x 3x 3x 13

724:2x 2x 181

748:2x 2x 11x 17

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 2 = 16

Therefore, the value for common factors is 16.

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 = 181467576576/(2x16)

LCM = 181467576576/32

LCM = 5670861768

Thus, we can understand that the LCM of 358,936,724,748 is 5670861768.

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

• LCM of 113, 301, 178, 392
• LCM of 264, 130, 597, 590
• LCM of 867, 782, 959, 334
• LCM of 551, 491, 942, 631
• LCM of 423, 443, 610, 871

1. What is the LCM of 358, 936, 724, 748?

Answer: LCM of 358, 936, 724, 748 is 5670861768.

2. How to calculate the LCM of 358, 936, 724, 748?

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 358, 936, 724, 748.

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}.