Given numbers are 974,771,173,345,312

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

The LCM of 974,771,173,345,312 is 776891951160.

Find LCM of 974,771,173,345,312 with Prime Factorization

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

2 x 3 x 487 x 257 x 173 x 115 x 52 = 776891951160

Therefore, the lowest common multiple of 974,771,173,345,312 is 776891951160.

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.

974 x 771 x 173 x 345 x 312 = 13984055120880

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.

974 : 1, 2, 487, 974

771 : 1, 3, 257, 771

173 : 1, 173

345 : 1, 3, 5, 15, 23, 69, 115, 345

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,771,173,345,312, is 1.

Now, the common factors can be found like this.

974:2x 487

771:3x 257

173:173

345:3x 5x 23

312:2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 13984055120880/(1x18)

LCM = 13984055120880/18

LCM = 776891951160

Thus, we can understand that the LCM of 974,771,173,345,312 is 776891951160.

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

• LCM of 108, 822, 948, 910, 284
• LCM of 249, 261, 873, 424, 897
• LCM of 781, 788, 822, 871, 595
• LCM of 322, 524, 925, 629, 735
• LCM of 293, 585, 877, 554, 375

1. What is the LCM of 974, 771, 173, 345, 312?

Answer: LCM of 974, 771, 173, 345, 312 is 776891951160.

2. How to calculate the LCM of 974, 771, 173, 345, 312?

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 974, 771, 173, 345, 312.

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}.