Given numbers are 715,584,438,758

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

The LCM of 715,584,438,758 is 474765720.

Find LCM of 715,584,438,758 with Prime Factorization

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

2 x 73 x 715 x 4 x 3 x 379 = 474765720

Therefore, the lowest common multiple of 715,584,438,758 is 474765720.

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.

715 x 584 x 438 x 758 = 138631590240

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

584 : 1, 2, 4, 8, 73, 146, 292, 584

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

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,584,438,758, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

584:2x 2x 2x 73

438:2x 3x 73

758:2x 379

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 73 = 292

Therefore, the value for common factors is 292.

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 = 138631590240/(1x292)

LCM = 138631590240/292

LCM = 474765720

Thus, we can understand that the LCM of 715,584,438,758 is 474765720.

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

• LCM of 938, 990, 145, 340
• LCM of 752, 707, 214, 595
• LCM of 254, 794, 801, 145
• LCM of 789, 911, 619, 795
• LCM of 626, 754, 977, 702

1. What is the LCM of 715, 584, 438, 758?

Answer: LCM of 715, 584, 438, 758 is 474765720.

2. How to calculate the LCM of 715, 584, 438, 758?

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 715, 584, 438, 758.

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}.