Given numbers are 705,520,731,121,630

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

The LCM of 705,520,731,121,630 is 136189773720.

Find LCM of 705,520,731,121,630 with Prime Factorization

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

2 x 3 x 5 x 47 x 52 x 731 x 121 x 21 = 136189773720

Therefore, the lowest common multiple of 705,520,731,121,630 is 136189773720.

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.

705 x 520 x 731 x 121 x 630 = 20428466058000

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

731 : 1, 17, 43, 731

121 : 1, 11, 121

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,520,731,121,630, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

520:2x 2x 2x 5x 13

731:17x 43

121:11x 11

630:2x 3x 3x 5x 7

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

2x 3x 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 20428466058000/(1x150)

LCM = 20428466058000/150

LCM = 136189773720

Thus, we can understand that the LCM of 705,520,731,121,630 is 136189773720.

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

• LCM of 747, 423, 879, 662, 451
• LCM of 832, 320, 227, 509, 777
• LCM of 406, 148, 568, 470, 311
• LCM of 887, 394, 966, 567, 729
• LCM of 402, 290, 448, 175, 665

1. What is the LCM of 705, 520, 731, 121, 630?

Answer: LCM of 705, 520, 731, 121, 630 is 136189773720.

2. How to calculate the LCM of 705, 520, 731, 121, 630?

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 705, 520, 731, 121, 630.

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}.