Given numbers are 936,747,171,910,378

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

The LCM of 936,747,171,910,378 is 154987560.

Find LCM of 936,747,171,910,378 with Prime Factorization

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

2 x 3 x 3 x 7 x 13 x 4 x 83 x 19 x 5 x 3 = 154987560

Therefore, the lowest common multiple of 936,747,171,910,378 is 154987560.

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.

936 x 747 x 171 x 910 x 378 = 41126878971360

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

747 : 1, 3, 9, 83, 249, 747

171 : 1, 3, 9, 19, 57, 171

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,747,171,910,378, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

747:3x 3x 83

171:3x 3x 19

910:2x 5x 7x 13

378:2x 3x 3x 3x 7

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 3x 3x 3x 3x 3x 3x 7x 13 = 265356

Therefore, the value for common factors is 265356.

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 = 41126878971360/(1x265356)

LCM = 41126878971360/265356

LCM = 154987560

Thus, we can understand that the LCM of 936,747,171,910,378 is 154987560.

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

• LCM of 744, 485, 289, 145, 379
• LCM of 826, 172, 125, 567, 662
• LCM of 839, 288, 960, 854, 395
• LCM of 829, 354, 375, 690, 202
• LCM of 379, 893, 641, 951, 570

1. What is the LCM of 936, 747, 171, 910, 378?

Answer: LCM of 936, 747, 171, 910, 378 is 154987560.

2. How to calculate the LCM of 936, 747, 171, 910, 378?

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 936, 747, 171, 910, 378.

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}.