Given numbers are 744,480,403,349,620

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

The LCM of 744,480,403,349,620 is 67510560.

Find LCM of 744,480,403,349,620 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 31 x 1 x 4 x 13 x 349 x 1 = 67510560

Therefore, the lowest common multiple of 744,480,403,349,620 is 67510560.

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.

744 x 480 x 403 x 349 x 620 = 31141271116800

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

403 : 1, 13, 31, 403

349 : 1, 349

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,480,403,349,620, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

480:2x 2x 2x 2x 2x 3x 5

403:13x 31

349:349

620:2x 2x 5x 31

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 2x 2x 3x 5x 31x 31 = 461280

Therefore, the value for common factors is 461280.

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 = 31141271116800/(1x461280)

LCM = 31141271116800/461280

LCM = 67510560

Thus, we can understand that the LCM of 744,480,403,349,620 is 67510560.

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

• LCM of 410, 398, 549, 596, 548
• LCM of 637, 643, 196, 866, 900
• LCM of 704, 223, 422, 407, 297
• LCM of 536, 428, 604, 470, 629
• LCM of 952, 560, 904, 400, 401

1. What is the LCM of 744, 480, 403, 349, 620?

Answer: LCM of 744, 480, 403, 349, 620 is 67510560.

2. How to calculate the LCM of 744, 480, 403, 349, 620?

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 744, 480, 403, 349, 620.

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}.