Given numbers are 746,254,379,508

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

The LCM of 746,254,379,508 is 71814436.

Find LCM of 746,254,379,508 with Prime Factorization

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

2 x 127 x 373 x 1 x 379 x 2 = 71814436

Therefore, the lowest common multiple of 746,254,379,508 is 71814436.

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.

746 x 254 x 379 x 508 = 36481733488

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.

746 : 1, 2, 373, 746

254 : 1, 2, 127, 254

379 : 1, 379

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,254,379,508, is 1.

Now, the common factors can be found like this.

746:2x 373

254:2x 127

379:379

508:2x 2x 127

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 127 = 508

Therefore, the value for common factors is 508.

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 = 36481733488/(1x508)

LCM = 36481733488/508

LCM = 71814436

Thus, we can understand that the LCM of 746,254,379,508 is 71814436.

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

• LCM of 858, 666, 860, 946
• LCM of 245, 560, 776, 458
• LCM of 560, 820, 121, 862
• LCM of 128, 538, 867, 613
• LCM of 875, 291, 661, 111

1. What is the LCM of 746, 254, 379, 508?

Answer: LCM of 746, 254, 379, 508 is 71814436.

2. How to calculate the LCM of 746, 254, 379, 508?

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 746, 254, 379, 508.

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}.