Given numbers are 312,746,744,828,377

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

The LCM of 312,746,744,828,377 is 7218919656.

Find LCM of 312,746,744,828,377 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 373 x 31 x 69 x 29 = 7218919656

Therefore, the lowest common multiple of 312,746,744,828,377 is 7218919656.

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.

312 x 746 x 744 x 828 x 377 = 54055270384128

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

746 : 1, 2, 373, 746

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,746,744,828,377, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

746:2x 373

744:2x 2x 2x 3x 31

828:2x 2x 3x 3x 23

377:13x 29

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 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 54055270384128/(1x7488)

LCM = 54055270384128/7488

LCM = 7218919656

Thus, we can understand that the LCM of 312,746,744,828,377 is 7218919656.

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

• LCM of 505, 934, 660, 595, 456
• LCM of 914, 368, 156, 427, 147
• LCM of 438, 279, 300, 154, 114
• LCM of 589, 735, 607, 710, 784
• LCM of 943, 489, 576, 471, 712

1. What is the LCM of 312, 746, 744, 828, 377?

Answer: LCM of 312, 746, 744, 828, 377 is 7218919656.

2. How to calculate the LCM of 312, 746, 744, 828, 377?

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 312, 746, 744, 828, 377.

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}.