Given numbers are 744,746,476,792,839

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

The LCM of 744,746,476,792,839 is 914333494536.

Find LCM of 744,746,476,792,839 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 373 x 119 x 33 x 839 = 914333494536

Therefore, the lowest common multiple of 744,746,476,792,839 is 914333494536.

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.

744 x 746 x 476 x 792 x 839 = 175552030950912

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

746 : 1, 2, 373, 746

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,746,476,792,839, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

746:2x 373

476:2x 2x 7x 17

792:2x 2x 2x 3x 3x 11

839:839

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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 175552030950912/(1x192)

LCM = 175552030950912/192

LCM = 914333494536

Thus, we can understand that the LCM of 744,746,476,792,839 is 914333494536.

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

• LCM of 298, 496, 560, 194, 251
• LCM of 887, 602, 976, 404, 191
• LCM of 681, 778, 868, 278, 983
• LCM of 113, 338, 648, 658, 109
• LCM of 520, 479, 272, 366, 978

1. What is the LCM of 744, 746, 476, 792, 839?

Answer: LCM of 744, 746, 476, 792, 839 is 914333494536.

2. How to calculate the LCM of 744, 746, 476, 792, 839?

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 744, 746, 476, 792, 839.

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}.