Given numbers are 420,746,106,630

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

The LCM of 420,746,106,630 is 24908940.

Find LCM of 420,746,106,630 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 373 x 53 x 3 = 24908940

Therefore, the lowest common multiple of 420,746,106,630 is 24908940.

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.

420 x 746 x 106 x 630 = 20923509600

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

746 : 1, 2, 373, 746

106 : 1, 2, 53, 106

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,746,106,630, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

746:2x 373

106:2x 53

630:2x 3x 3x 5x 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 5x 7 = 420

Therefore, the value for common factors is 420.

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 = 20923509600/(2x420)

LCM = 20923509600/840

LCM = 24908940

Thus, we can understand that the LCM of 420,746,106,630 is 24908940.

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

• LCM of 862, 397, 495, 354
• LCM of 776, 887, 413, 245
• LCM of 664, 687, 613, 427
• LCM of 513, 205, 333, 559
• LCM of 672, 523, 856, 300

1. What is the LCM of 420, 746, 106, 630?

Answer: LCM of 420, 746, 106, 630 is 24908940.

2. How to calculate the LCM of 420, 746, 106, 630?

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 420, 746, 106, 630.

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}.