Given numbers are 370,975,920,816

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

The LCM of 370,975,920,816 is 225685200.

Find LCM of 370,975,920,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 37 x 65 x 23 x 34 = 225685200

Therefore, the lowest common multiple of 370,975,920,816 is 225685200.

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.

370 x 975 x 920 x 816 = 270822240000

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,975,920,816, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

975:3x 5x 5x 13

920:2x 2x 2x 5x 23

816:2x 2x 2x 2x 3x 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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 270822240000/(1x1200)

LCM = 270822240000/1200

LCM = 225685200

Thus, we can understand that the LCM of 370,975,920,816 is 225685200.

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

• LCM of 402, 894, 654, 526
• LCM of 749, 503, 519, 312
• LCM of 451, 562, 763, 618
• LCM of 359, 375, 569, 520
• LCM of 841, 902, 783, 208

1. What is the LCM of 370, 975, 920, 816?

Answer: LCM of 370, 975, 920, 816 is 225685200.

2. How to calculate the LCM of 370, 975, 920, 816?

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 370, 975, 920, 816.

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}.