Given numbers are 537,456,354,630,170

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

The LCM of 537,456,354,630,170 is 8596231560.

Find LCM of 537,456,354,630,170 with Prime Factorization

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

2 x 3 x 5 x 179 x 76 x 59 x 21 x 17 = 8596231560

Therefore, the lowest common multiple of 537,456,354,630,170 is 8596231560.

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.

537 x 456 x 354 x 630 x 170 = 9283930084800

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.

537 : 1, 3, 179, 537

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

354 : 1, 2, 3, 6, 59, 118, 177, 354

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,456,354,630,170, is 1.

Now, the common factors can be found like this.

537:3x 179

456:2x 2x 2x 3x 19

354:2x 3x 59

630:2x 3x 3x 5x 7

170:2x 5x 17

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 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 9283930084800/(1x1080)

LCM = 9283930084800/1080

LCM = 8596231560

Thus, we can understand that the LCM of 537,456,354,630,170 is 8596231560.

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

• LCM of 632, 966, 146, 469, 444
• LCM of 603, 585, 454, 488, 840
• LCM of 198, 860, 271, 940, 340
• LCM of 883, 109, 280, 328, 328
• LCM of 879, 801, 462, 428, 685

1. What is the LCM of 537, 456, 354, 630, 170?

Answer: LCM of 537, 456, 354, 630, 170 is 8596231560.

2. How to calculate the LCM of 537, 456, 354, 630, 170?

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 537, 456, 354, 630, 170.

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}.