Given numbers are 828,239,478,844,840

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

The LCM of 828,239,478,844,840 is 2922864840.

Find LCM of 828,239,478,844,840 with Prime Factorization

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

2 x 2 x 3 x 239 x 69 x 1 x 1 x 211 x 70 = 2922864840

Therefore, the lowest common multiple of 828,239,478,844,840 is 2922864840.

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.

828 x 239 x 478 x 844 x 840 = 67062210888960

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

239 : 1, 239

478 : 1, 2, 239, 478

844 : 1, 2, 4, 211, 422, 844

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,239,478,844,840, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

239:239

478:2x 239

844:2x 2x 211

840:2x 2x 2x 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 2x 2x 2x 3x 239 = 22944

Therefore, the value for common factors is 22944.

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 = 67062210888960/(1x22944)

LCM = 67062210888960/22944

LCM = 2922864840

Thus, we can understand that the LCM of 828,239,478,844,840 is 2922864840.

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

• LCM of 880, 256, 428, 568, 778
• LCM of 208, 243, 882, 392, 674
• LCM of 596, 497, 100, 293, 392
• LCM of 411, 424, 446, 788, 608
• LCM of 297, 774, 434, 904, 813

1. What is the LCM of 828, 239, 478, 844, 840?

Answer: LCM of 828, 239, 478, 844, 840 is 2922864840.

2. How to calculate the LCM of 828, 239, 478, 844, 840?

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 828, 239, 478, 844, 840.

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}.