Given numbers are 438,508,157,428,381

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

The LCM of 438,508,157,428,381 is 1868922348.

Find LCM of 438,508,157,428,381 with Prime Factorization

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

2 x 2 x 3 x 127 x 73 x 1 x 157 x 107 x 1 = 1868922348

Therefore, the lowest common multiple of 438,508,157,428,381 is 1868922348.

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.

438 x 508 x 157 x 428 x 381 = 5696475316704

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

157 : 1, 157

428 : 1, 2, 4, 107, 214, 428

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,508,157,428,381, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

508:2x 2x 127

157:157

428:2x 2x 107

381:3x 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 2x 3x 127 = 3048

Therefore, the value for common factors is 3048.

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 = 5696475316704/(1x3048)

LCM = 5696475316704/3048

LCM = 1868922348

Thus, we can understand that the LCM of 438,508,157,428,381 is 1868922348.

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

• LCM of 881, 658, 974, 936, 517
• LCM of 219, 807, 824, 219, 451
• LCM of 319, 996, 694, 982, 442
• LCM of 519, 468, 137, 938, 398
• LCM of 310, 751, 514, 809, 723

1. What is the LCM of 438, 508, 157, 428, 381?

Answer: LCM of 438, 508, 157, 428, 381 is 1868922348.

2. How to calculate the LCM of 438, 508, 157, 428, 381?

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 438, 508, 157, 428, 381.

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}.