Given numbers are 109,420,232,638,723

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

The LCM of 109,420,232,638,723 is 7039041240.

Find LCM of 109,420,232,638,723 with Prime Factorization

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

2 x 2 x 3 x 29 x 109 x 35 x 2 x 11 x 241 = 7039041240

Therefore, the lowest common multiple of 109,420,232,638,723 is 7039041240.

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.

109 x 420 x 232 x 638 x 723 = 4899172703040

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.

109 : 1, 109

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

232 : 1, 2, 4, 8, 29, 58, 116, 232

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,420,232,638,723, is 1.

Now, the common factors can be found like this.

109:109

420:2x 2x 3x 5x 7

232:2x 2x 2x 29

638:2x 11x 29

723:3x 241

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 3x 29 = 696

Therefore, the value for common factors is 696.

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 = 4899172703040/(1x696)

LCM = 4899172703040/696

LCM = 7039041240

Thus, we can understand that the LCM of 109,420,232,638,723 is 7039041240.

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

• LCM of 386, 906, 584, 800, 993
• LCM of 142, 794, 541, 237, 641
• LCM of 331, 588, 246, 843, 503
• LCM of 399, 823, 192, 782, 509
• LCM of 313, 517, 420, 461, 546

1. What is the LCM of 109, 420, 232, 638, 723?

Answer: LCM of 109, 420, 232, 638, 723 is 7039041240.

2. How to calculate the LCM of 109, 420, 232, 638, 723?

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 109, 420, 232, 638, 723.

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}.