Given numbers are 420,326,546,126,391

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

The LCM of 420,326,546,126,391 is 1043946540.

Find LCM of 420,326,546,126,391 with Prime Factorization

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

2 x 3 x 7 x 10 x 163 x 13 x 3 x 391 = 1043946540

Therefore, the lowest common multiple of 420,326,546,126,391 is 1043946540.

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.

420 x 326 x 546 x 126 x 391 = 3683043393120

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.

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

326 : 1, 2, 163, 326

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,326,546,126,391, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

326:2x 163

546:2x 3x 7x 13

126:2x 3x 3x 7

391:17x 23

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 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 3683043393120/(1x3528)

LCM = 3683043393120/3528

LCM = 1043946540

Thus, we can understand that the LCM of 420,326,546,126,391 is 1043946540.

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

• LCM of 874, 791, 328, 661, 953
• LCM of 726, 287, 591, 331, 689
• LCM of 462, 907, 149, 707, 567
• LCM of 478, 223, 887, 302, 282
• LCM of 386, 959, 520, 248, 918

1. What is the LCM of 420, 326, 546, 126, 391?

Answer: LCM of 420, 326, 546, 126, 391 is 1043946540.

2. How to calculate the LCM of 420, 326, 546, 126, 391?

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 420, 326, 546, 126, 391.

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}.