Given numbers are 987,413,345,746

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

The LCM of 987,413,345,746 is 4995809070.

Find LCM of 987,413,345,746 with Prime Factorization

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

3 x 7 x 47 x 59 x 115 x 746 = 4995809070

Therefore, the lowest common multiple of 987,413,345,746 is 4995809070.

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.

987 x 413 x 345 x 746 = 104911990470

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

413 : 1, 7, 59, 413

345 : 1, 3, 5, 15, 23, 69, 115, 345

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,413,345,746, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

413:7x 59

345:3x 5x 23

746:2x 373

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 104911990470/(1x21)

LCM = 104911990470/21

LCM = 4995809070

Thus, we can understand that the LCM of 987,413,345,746 is 4995809070.

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

• LCM of 406, 823, 374, 840
• LCM of 815, 127, 626, 931
• LCM of 508, 385, 797, 386
• LCM of 101, 642, 522, 641
• LCM of 836, 976, 129, 552

1. What is the LCM of 987, 413, 345, 746?

Answer: LCM of 987, 413, 345, 746 is 4995809070.

2. How to calculate the LCM of 987, 413, 345, 746?

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 987, 413, 345, 746.

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}.