Given numbers are 782,252,341,278

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

The LCM of 782,252,341,278 is 4670318268.

Find LCM of 782,252,341,278 with Prime Factorization

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

2 x 391 x 126 x 341 x 139 = 4670318268

Therefore, the lowest common multiple of 782,252,341,278 is 4670318268.

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.

782 x 252 x 341 x 278 = 18681273072

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

341 : 1, 11, 31, 341

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,252,341,278, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

252:2x 2x 3x 3x 7

341:11x 31

278:2x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18681273072/(1x4)

LCM = 18681273072/4

LCM = 4670318268

Thus, we can understand that the LCM of 782,252,341,278 is 4670318268.

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

• LCM of 978, 671, 970, 218
• LCM of 277, 456, 329, 260
• LCM of 292, 625, 228, 924
• LCM of 931, 698, 446, 826
• LCM of 378, 622, 613, 981

1. What is the LCM of 782, 252, 341, 278?

Answer: LCM of 782, 252, 341, 278 is 4670318268.

2. How to calculate the LCM of 782, 252, 341, 278?

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 782, 252, 341, 278.

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}.