Given numbers are 582,992,224,714

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

The LCM of 582,992,224,714 is 34351968.

Find LCM of 582,992,224,714 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 97 x 31 x 1 x 17 = 34351968

Therefore, the lowest common multiple of 582,992,224,714 is 34351968.

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.

582 x 992 x 224 x 714 = 92338089984

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,992,224,714, is 2.

Now, the common factors can be found like this.

582:2x 3x 97

992:2x 2x 2x 2x 2x 31

224:2x 2x 2x 2x 2x 7

714:2x 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 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 92338089984/(2x1344)

LCM = 92338089984/2688

LCM = 34351968

Thus, we can understand that the LCM of 582,992,224,714 is 34351968.

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

• LCM of 500, 600, 756, 993
• LCM of 854, 255, 737, 383
• LCM of 442, 997, 843, 983
• LCM of 222, 334, 425, 415
• LCM of 331, 228, 665, 408

1. What is the LCM of 582, 992, 224, 714?

Answer: LCM of 582, 992, 224, 714 is 34351968.

2. How to calculate the LCM of 582, 992, 224, 714?

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 582, 992, 224, 714.

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}.