Given numbers are 126,440,610,946,584

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

The LCM of 126,440,610,946,584 is 5307797880.

Find LCM of 126,440,610,946,584 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 63 x 1 x 61 x 43 x 73 = 5307797880

Therefore, the lowest common multiple of 126,440,610,946,584 is 5307797880.

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.

126 x 440 x 610 x 946 x 584 = 18683448537600

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

610 : 1, 2, 5, 10, 61, 122, 305, 610

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,440,610,946,584, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

440:2x 2x 2x 5x 11

610:2x 5x 61

946:2x 11x 43

584:2x 2x 2x 73

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 5x 11 = 1760

Therefore, the value for common factors is 1760.

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 = 18683448537600/(2x1760)

LCM = 18683448537600/3520

LCM = 5307797880

Thus, we can understand that the LCM of 126,440,610,946,584 is 5307797880.

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

• LCM of 985, 287, 279, 661, 709
• LCM of 848, 574, 963, 169, 418
• LCM of 633, 875, 424, 416, 872
• LCM of 340, 248, 267, 188, 118
• LCM of 886, 281, 648, 819, 922

1. What is the LCM of 126, 440, 610, 946, 584?

Answer: LCM of 126, 440, 610, 946, 584 is 5307797880.

2. How to calculate the LCM of 126, 440, 610, 946, 584?

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 126, 440, 610, 946, 584.

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}.