Given numbers are 416,420,943,724

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

The LCM of 416,420,943,724 is 7455433440.

Find LCM of 416,420,943,724 with Prime Factorization

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

2 x 2 x 104 x 105 x 943 x 181 = 7455433440

Therefore, the lowest common multiple of 416,420,943,724 is 7455433440.

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.

416 x 420 x 943 x 724 = 119286935040

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

943 : 1, 23, 41, 943

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,420,943,724, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

420:2x 2x 3x 5x 7

943:23x 41

724:2x 2x 181

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 2 = 16

Therefore, the value for common factors is 16.

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 = 119286935040/(1x16)

LCM = 119286935040/16

LCM = 7455433440

Thus, we can understand that the LCM of 416,420,943,724 is 7455433440.

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

• LCM of 890, 460, 320, 844
• LCM of 377, 483, 801, 657
• LCM of 978, 978, 797, 127
• LCM of 422, 739, 141, 172
• LCM of 499, 240, 551, 686

1. What is the LCM of 416, 420, 943, 724?

Answer: LCM of 416, 420, 943, 724 is 7455433440.

2. How to calculate the LCM of 416, 420, 943, 724?

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 416, 420, 943, 724.

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}.