Given numbers are 400,702,416,848,357

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

The LCM of 400,702,416,848,357 is 1771005600.

Find LCM of 400,702,416,848,357 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 25 x 9 x 2 x 53 x 119 = 1771005600

Therefore, the lowest common multiple of 400,702,416,848,357 is 1771005600.

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.

400 x 702 x 416 x 848 x 357 = 35363439820800

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,702,416,848,357, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

702:2x 3x 3x 3x 13

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

848:2x 2x 2x 2x 53

357:3x 7x 17

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 2x 2x 2x 2x 3x 13 = 19968

Therefore, the value for common factors is 19968.

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 = 35363439820800/(1x19968)

LCM = 35363439820800/19968

LCM = 1771005600

Thus, we can understand that the LCM of 400,702,416,848,357 is 1771005600.

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

• LCM of 729, 910, 879, 675, 232
• LCM of 815, 983, 583, 724, 492
• LCM of 946, 655, 252, 711, 895
• LCM of 408, 766, 910, 707, 587
• LCM of 767, 308, 952, 946, 598

1. What is the LCM of 400, 702, 416, 848, 357?

Answer: LCM of 400, 702, 416, 848, 357 is 1771005600.

2. How to calculate the LCM of 400, 702, 416, 848, 357?

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 400, 702, 416, 848, 357.

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}.