Given numbers are 860,667,920,592,138

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

The LCM of 860,667,920,592,138 is 254687280.

Find LCM of 860,667,920,592,138 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 43 x 29 x 1 x 74 x 3 = 254687280

Therefore, the lowest common multiple of 860,667,920,592,138 is 254687280.

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.

860 x 667 x 920 x 592 x 138 = 43113462758400

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

667 : 1, 23, 29, 667

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,667,920,592,138, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

667:23x 29

920:2x 2x 2x 5x 23

592:2x 2x 2x 2x 37

138:2x 3x 23

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 2x 5x 23x 23 = 169280

Therefore, the value for common factors is 169280.

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 = 43113462758400/(1x169280)

LCM = 43113462758400/169280

LCM = 254687280

Thus, we can understand that the LCM of 860,667,920,592,138 is 254687280.

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

• LCM of 107, 613, 300, 490, 922
• LCM of 846, 359, 744, 491, 569
• LCM of 652, 151, 600, 108, 424
• LCM of 760, 921, 478, 586, 953
• LCM of 761, 902, 255, 242, 735

1. What is the LCM of 860, 667, 920, 592, 138?

Answer: LCM of 860, 667, 920, 592, 138 is 254687280.

2. How to calculate the LCM of 860, 667, 920, 592, 138?

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 860, 667, 920, 592, 138.

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}.