Given numbers are 742,137,702,968,723

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

The LCM of 742,137,702,968,723 is 4161922540776.

Find LCM of 742,137,702,968,723 with Prime Factorization

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

2 x 3 x 371 x 137 x 117 x 484 x 241 = 4161922540776

Therefore, the lowest common multiple of 742,137,702,968,723 is 4161922540776.

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.

742 x 137 x 702 x 968 x 723 = 49943070489312

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

137 : 1, 137

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,137,702,968,723, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

137:137

702:2x 3x 3x 3x 13

968:2x 2x 2x 11x 11

723:3x 241

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 3 = 12

Therefore, the value for common factors is 12.

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 = 49943070489312/(1x12)

LCM = 49943070489312/12

LCM = 4161922540776

Thus, we can understand that the LCM of 742,137,702,968,723 is 4161922540776.

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

• LCM of 942, 226, 488, 730, 674
• LCM of 994, 854, 620, 296, 688
• LCM of 484, 243, 175, 867, 712
• LCM of 429, 503, 191, 985, 336
• LCM of 937, 112, 423, 247, 987

1. What is the LCM of 742, 137, 702, 968, 723?

Answer: LCM of 742, 137, 702, 968, 723 is 4161922540776.

2. How to calculate the LCM of 742, 137, 702, 968, 723?

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 742, 137, 702, 968, 723.

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}.