Given numbers are 920,293,630,952

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

The LCM of 920,293,630,952 is 288698760.

Find LCM of 920,293,630,952 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 23 x 293 x 9 x 17 = 288698760

Therefore, the lowest common multiple of 920,293,630,952 is 288698760.

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.

920 x 293 x 630 x 952 = 161671305600

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.

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

293 : 1, 293

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,293,630,952, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

293:293

630:2x 3x 3x 5x 7

952:2x 2x 2x 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 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 161671305600/(1x560)

LCM = 161671305600/560

LCM = 288698760

Thus, we can understand that the LCM of 920,293,630,952 is 288698760.

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

• LCM of 828, 326, 460, 452
• LCM of 437, 510, 631, 497
• LCM of 187, 852, 331, 766
• LCM of 567, 585, 529, 170
• LCM of 840, 605, 586, 352

1. What is the LCM of 920, 293, 630, 952?

Answer: LCM of 920, 293, 630, 952 is 288698760.

2. How to calculate the LCM of 920, 293, 630, 952?

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 920, 293, 630, 952.

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}.