Given numbers are 149,721,427,938,735

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

The LCM of 149,721,427,938,735 is 92203087830.

Find LCM of 149,721,427,938,735 with Prime Factorization

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

7 x 149 x 103 x 61 x 134 x 105 = 92203087830

Therefore, the lowest common multiple of 149,721,427,938,735 is 92203087830.

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.

149 x 721 x 427 x 938 x 735 = 31625659125690

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.

149 : 1, 149

721 : 1, 7, 103, 721

427 : 1, 7, 61, 427

938 : 1, 2, 7, 14, 67, 134, 469, 938

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,721,427,938,735, is 1.

Now, the common factors can be found like this.

149:149

721:7x 103

427:7x 61

938:2x 7x 67

735:3x 5x 7x 7

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

7x 7x 7 = 343

Therefore, the value for common factors is 343.

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 = 31625659125690/(1x343)

LCM = 31625659125690/343

LCM = 92203087830

Thus, we can understand that the LCM of 149,721,427,938,735 is 92203087830.

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

• LCM of 732, 171, 494, 314, 628
• LCM of 950, 442, 426, 839, 229
• LCM of 486, 782, 967, 861, 953
• LCM of 439, 752, 111, 554, 241
• LCM of 976, 700, 536, 807, 981

1. What is the LCM of 149, 721, 427, 938, 735?

Answer: LCM of 149, 721, 427, 938, 735 is 92203087830.

2. How to calculate the LCM of 149, 721, 427, 938, 735?

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 149, 721, 427, 938, 735.

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}.