Given numbers are 429,715,338,758,922

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

The LCM of 429,715,338,758,922 is 9744078630.

Find LCM of 429,715,338,758,922 with Prime Factorization

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

2 x 11 x 13 x 3 x 5 x 13 x 379 x 461 = 9744078630

Therefore, the lowest common multiple of 429,715,338,758,922 is 9744078630.

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.

429 x 715 x 338 x 758 x 922 = 72456968692680

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

715 : 1, 5, 11, 13, 55, 65, 143, 715

338 : 1, 2, 13, 26, 169, 338

758 : 1, 2, 379, 758

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,715,338,758,922, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

715:5x 11x 13

338:2x 13x 13

758:2x 379

922:2x 461

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 11x 13x 13 = 7436

Therefore, the value for common factors is 7436.

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 = 72456968692680/(1x7436)

LCM = 72456968692680/7436

LCM = 9744078630

Thus, we can understand that the LCM of 429,715,338,758,922 is 9744078630.

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

• LCM of 663, 758, 462, 255, 269
• LCM of 433, 567, 864, 284, 634
• LCM of 194, 108, 151, 842, 184
• LCM of 987, 888, 940, 742, 818
• LCM of 466, 830, 602, 164, 707

1. What is the LCM of 429, 715, 338, 758, 922?

Answer: LCM of 429, 715, 338, 758, 922 is 9744078630.

2. How to calculate the LCM of 429, 715, 338, 758, 922?

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 429, 715, 338, 758, 922.

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}.