Given numbers are 426,276,720,533

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

The LCM of 426,276,720,533 is 626680080.

Find LCM of 426,276,720,533 with Prime Factorization

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

2 x 2 x 3 x 71 x 23 x 60 x 533 = 626680080

Therefore, the lowest common multiple of 426,276,720,533 is 626680080.

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.

426 x 276 x 720 x 533 = 45120965760

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,276,720,533, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

276:2x 2x 3x 23

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

533:13x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 45120965760/(1x72)

LCM = 45120965760/72

LCM = 626680080

Thus, we can understand that the LCM of 426,276,720,533 is 626680080.

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

• LCM of 194, 867, 728, 109
• LCM of 647, 795, 615, 818
• LCM of 925, 118, 726, 833
• LCM of 360, 373, 196, 661
• LCM of 165, 157, 661, 712

1. What is the LCM of 426, 276, 720, 533?

Answer: LCM of 426, 276, 720, 533 is 626680080.

2. How to calculate the LCM of 426, 276, 720, 533?

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 426, 276, 720, 533.

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}.