Given numbers are 708,760,658,338

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

The LCM of 708,760,658,338 is 7479446520.

Find LCM of 708,760,658,338 with Prime Factorization

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

2 x 2 x 177 x 190 x 329 x 169 = 7479446520

Therefore, the lowest common multiple of 708,760,658,338 is 7479446520.

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.

708 x 760 x 658 x 338 = 119671144320

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

658 : 1, 2, 7, 14, 47, 94, 329, 658

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,760,658,338, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

760:2x 2x 2x 5x 19

658:2x 7x 47

338:2x 13x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 119671144320/(2x8)

LCM = 119671144320/16

LCM = 7479446520

Thus, we can understand that the LCM of 708,760,658,338 is 7479446520.

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

• LCM of 170, 218, 485, 779
• LCM of 213, 224, 320, 640
• LCM of 554, 503, 164, 786
• LCM of 344, 812, 205, 376
• LCM of 507, 492, 140, 670

1. What is the LCM of 708, 760, 658, 338?

Answer: LCM of 708, 760, 658, 338 is 7479446520.

2. How to calculate the LCM of 708, 760, 658, 338?

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 708, 760, 658, 338.

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}.