Given numbers are 742,949,746,516

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

The LCM of 742,949,746,516 is 67763940972.

Find LCM of 742,949,746,516 with Prime Factorization

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

2 x 371 x 949 x 373 x 258 = 67763940972

Therefore, the lowest common multiple of 742,949,746,516 is 67763940972.

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 949 x 746 x 516 = 271055763888

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

949 : 1, 13, 73, 949

746 : 1, 2, 373, 746

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,949,746,516, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

949:13x 73

746:2x 373

516:2x 2x 3x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 271055763888/(1x4)

LCM = 271055763888/4

LCM = 67763940972

Thus, we can understand that the LCM of 742,949,746,516 is 67763940972.

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

• LCM of 282, 476, 531, 955
• LCM of 702, 817, 458, 747
• LCM of 260, 369, 887, 616
• LCM of 726, 489, 627, 236
• LCM of 299, 379, 578, 354

1. What is the LCM of 742, 949, 746, 516?

Answer: LCM of 742, 949, 746, 516 is 67763940972.

2. How to calculate the LCM of 742, 949, 746, 516?

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, 949, 746, 516.

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}.