Given numbers are 868,517,816,740,988

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

The LCM of 868,517,816,740,988 is 4183204705680.

Find LCM of 868,517,816,740,988 with Prime Factorization

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

2 x 2 x 217 x 517 x 204 x 185 x 247 = 4183204705680

Therefore, the lowest common multiple of 868,517,816,740,988 is 4183204705680.

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.

868 x 517 x 816 x 740 x 988 = 267725101163520

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

517 : 1, 11, 47, 517

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,517,816,740,988, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

517:11x 47

816:2x 2x 2x 2x 3x 17

740:2x 2x 5x 37

988:2x 2x 13x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 267725101163520/(1x64)

LCM = 267725101163520/64

LCM = 4183204705680

Thus, we can understand that the LCM of 868,517,816,740,988 is 4183204705680.

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

• LCM of 169, 536, 334, 910, 994
• LCM of 376, 265, 516, 426, 438
• LCM of 744, 160, 600, 540, 564
• LCM of 456, 780, 948, 106, 312
• LCM of 625, 558, 367, 674, 557

1. What is the LCM of 868, 517, 816, 740, 988?

Answer: LCM of 868, 517, 816, 740, 988 is 4183204705680.

2. How to calculate the LCM of 868, 517, 816, 740, 988?

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 868, 517, 816, 740, 988.

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}.