Given numbers are 735,136,263,113,715

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

The LCM of 735,136,263,113,715 is 424811707320.

Find LCM of 735,136,263,113,715 with Prime Factorization

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

5 x 147 x 136 x 263 x 113 x 143 = 424811707320

Therefore, the lowest common multiple of 735,136,263,113,715 is 424811707320.

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.

735 x 136 x 263 x 113 x 715 = 2124058536600

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

136 : 1, 2, 4, 8, 17, 34, 68, 136

263 : 1, 263

113 : 1, 113

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 735,136,263,113,715, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

136:2x 2x 2x 17

263:263

113:113

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 2124058536600/(1x5)

LCM = 2124058536600/5

LCM = 424811707320

Thus, we can understand that the LCM of 735,136,263,113,715 is 424811707320.

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

• LCM of 530, 382, 612, 883, 994
• LCM of 372, 338, 481, 951, 634
• LCM of 274, 483, 783, 416, 996
• LCM of 725, 346, 964, 329, 936
• LCM of 381, 917, 927, 370, 178

1. What is the LCM of 735, 136, 263, 113, 715?

Answer: LCM of 735, 136, 263, 113, 715 is 424811707320.

2. How to calculate the LCM of 735, 136, 263, 113, 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 735, 136, 263, 113, 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}.