Given numbers are 868,292,690,324,880

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

The LCM of 868,292,690,324,880 is 25970369040.

Find LCM of 868,292,690,324,880 with Prime Factorization

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

2 x 2 x 3 x 5 x 217 x 73 x 23 x 27 x 44 = 25970369040

Therefore, the lowest common multiple of 868,292,690,324,880 is 25970369040.

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 292 x 690 x 324 x 880 = 49863108556800

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

292 : 1, 2, 4, 73, 146, 292

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,292,690,324,880, is 2.

Now, the common factors can be found like this.

868:2x 2x 7x 31

292:2x 2x 73

690:2x 3x 5x 23

324:2x 2x 3x 3x 3x 3

880:2x 2x 2x 2x 5x 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 2x 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 49863108556800/(2x960)

LCM = 49863108556800/1920

LCM = 25970369040

Thus, we can understand that the LCM of 868,292,690,324,880 is 25970369040.

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

• LCM of 692, 756, 273, 129, 267
• LCM of 147, 764, 876, 416, 129
• LCM of 521, 786, 994, 150, 821
• LCM of 375, 668, 570, 572, 120
• LCM of 973, 562, 542, 176, 940

1. What is the LCM of 868, 292, 690, 324, 880?

Answer: LCM of 868, 292, 690, 324, 880 is 25970369040.

2. How to calculate the LCM of 868, 292, 690, 324, 880?

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, 292, 690, 324, 880.

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}.