Given numbers are 678,572,902,302,638

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

The LCM of 678,572,902,302,638 is 34814048412.

Find LCM of 678,572,902,302,638 with Prime Factorization

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

2 x 11 x 339 x 26 x 41 x 151 x 29 = 34814048412

Therefore, the lowest common multiple of 678,572,902,302,638 is 34814048412.

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.

678 x 572 x 902 x 302 x 638 = 67399997725632

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

902 : 1, 2, 11, 22, 41, 82, 451, 902

302 : 1, 2, 151, 302

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,572,902,302,638, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

572:2x 2x 11x 13

902:2x 11x 41

302:2x 151

638:2x 11x 29

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 67399997725632/(2x968)

LCM = 67399997725632/1936

LCM = 34814048412

Thus, we can understand that the LCM of 678,572,902,302,638 is 34814048412.

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

• LCM of 194, 530, 265, 427, 564
• LCM of 477, 936, 854, 938, 216
• LCM of 507, 946, 524, 405, 666
• LCM of 432, 514, 596, 807, 256
• LCM of 366, 947, 648, 475, 697

1. What is the LCM of 678, 572, 902, 302, 638?

Answer: LCM of 678, 572, 902, 302, 638 is 34814048412.

2. How to calculate the LCM of 678, 572, 902, 302, 638?

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 678, 572, 902, 302, 638.

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}.