Given numbers are 521,630,690,456

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

The LCM of 521,630,690,456 is 573746040.

Find LCM of 521,630,690,456 with Prime Factorization

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

2 x 3 x 5 x 521 x 21 x 23 x 76 = 573746040

Therefore, the lowest common multiple of 521,630,690,456 is 573746040.

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.

521 x 630 x 690 x 456 = 103274287200

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.

521 : 1, 521

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,630,690,456, is 1.

Now, the common factors can be found like this.

521:521

630:2x 3x 3x 5x 7

690:2x 3x 5x 23

456:2x 2x 2x 3x 19

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 5 = 180

Therefore, the value for common factors is 180.

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 = 103274287200/(1x180)

LCM = 103274287200/180

LCM = 573746040

Thus, we can understand that the LCM of 521,630,690,456 is 573746040.

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

• LCM of 254, 631, 741, 803
• LCM of 639, 344, 746, 337
• LCM of 579, 158, 476, 703
• LCM of 798, 788, 644, 524
• LCM of 917, 141, 197, 198

1. What is the LCM of 521, 630, 690, 456?

Answer: LCM of 521, 630, 690, 456 is 573746040.

2. How to calculate the LCM of 521, 630, 690, 456?

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 521, 630, 690, 456.

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}.