Given numbers are 504,918,508,421,544

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

The LCM of 504,918,508,421,544 is 5497263072.

Find LCM of 504,918,508,421,544 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 17 x 7 x 3 x 127 x 421 x 4 = 5497263072

Therefore, the lowest common multiple of 504,918,508,421,544 is 5497263072.

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.

504 x 918 x 508 x 421 x 544 = 53829200001024

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

508 : 1, 2, 4, 127, 254, 508

421 : 1, 421

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,918,508,421,544, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

918:2x 3x 3x 3x 17

508:2x 2x 127

421:421

544:2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 53829200001024/(1x9792)

LCM = 53829200001024/9792

LCM = 5497263072

Thus, we can understand that the LCM of 504,918,508,421,544 is 5497263072.

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

• LCM of 103, 643, 488, 175, 582
• LCM of 782, 150, 289, 854, 958
• LCM of 605, 555, 427, 419, 523
• LCM of 631, 287, 718, 240, 916
• LCM of 694, 752, 446, 848, 862

1. What is the LCM of 504, 918, 508, 421, 544?

Answer: LCM of 504, 918, 508, 421, 544 is 5497263072.

2. How to calculate the LCM of 504, 918, 508, 421, 544?

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 504, 918, 508, 421, 544.

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}.