Given numbers are 421,728,744,403,837

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

The LCM of 421,728,744,403,837 is 256530456.

Find LCM of 421,728,744,403,837 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 31 x 421 x 7 x 1 x 1 x 9 = 256530456

Therefore, the lowest common multiple of 421,728,744,403,837 is 256530456.

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.

421 x 728 x 744 x 403 x 837 = 76916039683392

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.

421 : 1, 421

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

403 : 1, 13, 31, 403

837 : 1, 3, 9, 27, 31, 93, 279, 837

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,728,744,403,837, is 1.

Now, the common factors can be found like this.

421:421

728:2x 2x 2x 7x 13

744:2x 2x 2x 3x 31

403:13x 31

837:3x 3x 3x 31

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 3x 13x 31x 31 = 299832

Therefore, the value for common factors is 299832.

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 = 76916039683392/(1x299832)

LCM = 76916039683392/299832

LCM = 256530456

Thus, we can understand that the LCM of 421,728,744,403,837 is 256530456.

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

• LCM of 478, 435, 766, 992, 563
• LCM of 657, 648, 773, 825, 998
• LCM of 789, 494, 687, 170, 755
• LCM of 179, 749, 917, 728, 758
• LCM of 978, 449, 716, 132, 192

1. What is the LCM of 421, 728, 744, 403, 837?

Answer: LCM of 421, 728, 744, 403, 837 is 256530456.

2. How to calculate the LCM of 421, 728, 744, 403, 837?

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 421, 728, 744, 403, 837.

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}.