Given numbers are 61,38,77,11,715

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

The LCM of 61,38,77,11,715 is 11601590.

Find LCM of 61,38,77,11,715 with Prime Factorization

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

11 x 61 x 38 x 7 x 1 x 65 = 11601590

Therefore, the lowest common multiple of 61,38,77,11,715 is 11601590.

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.

61 x 38 x 77 x 11 x 715 = 1403792390

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.

61 : 1, 61

38 : 1, 2, 19, 38

77 : 1, 7, 11, 77

11 : 1, 11

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 61,38,77,11,715, is 1.

Now, the common factors can be found like this.

61:61

38:2x 19

77:7x 11

11:11

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 1403792390/(1x121)

LCM = 1403792390/121

LCM = 11601590

Thus, we can understand that the LCM of 61,38,77,11,715 is 11601590.

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

• LCM of 89, 89, 35, 31, 434
• LCM of 78, 59, 34, 90, 445
• LCM of 86, 27, 98, 23, 876
• LCM of 10, 84, 94, 83, 964
• LCM of 25, 72, 43, 96, 688

1. What is the LCM of 61, 38, 77, 11, 715?

Answer: LCM of 61, 38, 77, 11, 715 is 11601590.

2. How to calculate the LCM of 61, 38, 77, 11, 715?

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 61, 38, 77, 11, 715.

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}.