Given numbers are 238,364,624,740,331

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

The LCM of 238,364,624,740,331 is 4547066160.

Find LCM of 238,364,624,740,331 with Prime Factorization

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

2 x 2 x 7 x 13 x 17 x 1 x 12 x 185 x 331 = 4547066160

Therefore, the lowest common multiple of 238,364,624,740,331 is 4547066160.

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.

238 x 364 x 624 x 740 x 331 = 13241056657920

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,364,624,740,331, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

364:2x 2x 7x 13

624:2x 2x 2x 2x 3x 13

740:2x 2x 5x 37

331:331

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 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 13241056657920/(1x2912)

LCM = 13241056657920/2912

LCM = 4547066160

Thus, we can understand that the LCM of 238,364,624,740,331 is 4547066160.

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

• LCM of 516, 462, 775, 946, 637
• LCM of 579, 195, 673, 607, 667
• LCM of 539, 129, 670, 470, 408
• LCM of 744, 298, 517, 461, 736
• LCM of 634, 186, 639, 456, 448

1. What is the LCM of 238, 364, 624, 740, 331?

Answer: LCM of 238, 364, 624, 740, 331 is 4547066160.

2. How to calculate the LCM of 238, 364, 624, 740, 331?

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 238, 364, 624, 740, 331.

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}.