Given numbers are 977,874,174,630,792

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

The LCM of 977,874,174,630,792 is 343215762120.

Find LCM of 977,874,174,630,792 with Prime Factorization

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

2 x 3 x 3 x 977 x 437 x 29 x 35 x 44 = 343215762120

Therefore, the lowest common multiple of 977,874,174,630,792 is 343215762120.

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.

977 x 874 x 174 x 630 x 792 = 74134604617920

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.

977 : 1, 977

874 : 1, 2, 19, 23, 38, 46, 437, 874

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,874,174,630,792, is 1.

Now, the common factors can be found like this.

977:977

874:2x 19x 23

174:2x 3x 29

630:2x 3x 3x 5x 7

792:2x 2x 2x 3x 3x 11

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 74134604617920/(1x216)

LCM = 74134604617920/216

LCM = 343215762120

Thus, we can understand that the LCM of 977,874,174,630,792 is 343215762120.

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

• LCM of 496, 620, 678, 320, 885
• LCM of 158, 906, 419, 867, 786
• LCM of 123, 394, 685, 223, 869
• LCM of 714, 775, 303, 495, 381
• LCM of 818, 703, 347, 966, 891

1. What is the LCM of 977, 874, 174, 630, 792?

Answer: LCM of 977, 874, 174, 630, 792 is 343215762120.

2. How to calculate the LCM of 977, 874, 174, 630, 792?

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 977, 874, 174, 630, 792.

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}.