Given numbers are 977,615,924,714,983

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

The LCM of 977,615,924,714,983 is 3092593474740.

Find LCM of 977,615,924,714,983 with Prime Factorization

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

2 x 3 x 7 x 977 x 205 x 22 x 17 x 983 = 3092593474740

Therefore, the lowest common multiple of 977,615,924,714,983 is 3092593474740.

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 615 x 924 x 714 x 983 = 389666777817240

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

615 : 1, 3, 5, 15, 41, 123, 205, 615

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,615,924,714,983, is 1.

Now, the common factors can be found like this.

977:977

615:3x 5x 41

924:2x 2x 3x 7x 11

714:2x 3x 7x 17

983:983

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 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 389666777817240/(1x126)

LCM = 389666777817240/126

LCM = 3092593474740

Thus, we can understand that the LCM of 977,615,924,714,983 is 3092593474740.

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

• LCM of 742, 761, 621, 145, 308
• LCM of 306, 316, 302, 999, 200
• LCM of 384, 466, 331, 636, 515
• LCM of 551, 131, 814, 553, 234
• LCM of 846, 345, 919, 189, 400

1. What is the LCM of 977, 615, 924, 714, 983?

Answer: LCM of 977, 615, 924, 714, 983 is 3092593474740.

2. How to calculate the LCM of 977, 615, 924, 714, 983?

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, 615, 924, 714, 983.

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}.