Given numbers are 422,630,771,790,741

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

The LCM of 422,630,771,790,741 is 666622814130.

Find LCM of 422,630,771,790,741 with Prime Factorization

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

2 x 3 x 5 x 211 x 21 x 257 x 79 x 247 = 666622814130

Therefore, the lowest common multiple of 422,630,771,790,741 is 666622814130.

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.

422 x 630 x 771 x 790 x 741 = 119992106543400

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.

422 : 1, 2, 211, 422

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

771 : 1, 3, 257, 771

790 : 1, 2, 5, 10, 79, 158, 395, 790

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,630,771,790,741, is 1.

Now, the common factors can be found like this.

422:2x 211

630:2x 3x 3x 5x 7

771:3x 257

790:2x 5x 79

741:3x 13x 19

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 119992106543400/(1x180)

LCM = 119992106543400/180

LCM = 666622814130

Thus, we can understand that the LCM of 422,630,771,790,741 is 666622814130.

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

• LCM of 579, 362, 199, 579, 138
• LCM of 801, 807, 624, 781, 117
• LCM of 125, 921, 417, 122, 752
• LCM of 594, 233, 330, 362, 446
• LCM of 952, 764, 619, 605, 528

1. What is the LCM of 422, 630, 771, 790, 741?

Answer: LCM of 422, 630, 771, 790, 741 is 666622814130.

2. How to calculate the LCM of 422, 630, 771, 790, 741?

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 422, 630, 771, 790, 741.

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}.