Given numbers are 612,316,720,126,410

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

The LCM of 612,316,720,126,410 is 277517520.

Find LCM of 612,316,720,126,410 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 17 x 79 x 4 x 7 x 41 = 277517520

Therefore, the lowest common multiple of 612,316,720,126,410 is 277517520.

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.

612 x 316 x 720 x 126 x 410 = 7193254118400

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

316 : 1, 2, 4, 79, 158, 316

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

410 : 1, 2, 5, 10, 41, 82, 205, 410

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,316,720,126,410, is 2.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

316:2x 2x 79

720:2x 2x 2x 2x 3x 3x 5

126:2x 3x 3x 7

410:2x 5x 41

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 3x 3x 3x 3x 5 = 12960

Therefore, the value for common factors is 12960.

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 = 7193254118400/(2x12960)

LCM = 7193254118400/25920

LCM = 277517520

Thus, we can understand that the LCM of 612,316,720,126,410 is 277517520.

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

• LCM of 940, 137, 745, 175, 211
• LCM of 484, 686, 192, 377, 455
• LCM of 900, 834, 803, 324, 328
• LCM of 631, 260, 971, 257, 441
• LCM of 960, 232, 217, 484, 180

1. What is the LCM of 612, 316, 720, 126, 410?

Answer: LCM of 612, 316, 720, 126, 410 is 277517520.

2. How to calculate the LCM of 612, 316, 720, 126, 410?

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 612, 316, 720, 126, 410.

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}.