Given numbers are 754,120,124,398,276

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

The LCM of 754,120,124,398,276 is 6418967880.

Find LCM of 754,120,124,398,276 with Prime Factorization

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

2 x 2 x 3 x 377 x 10 x 31 x 199 x 23 = 6418967880

Therefore, the lowest common multiple of 754,120,124,398,276 is 6418967880.

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.

754 x 120 x 124 x 398 x 276 = 1232441832960

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

124 : 1, 2, 4, 31, 62, 124

398 : 1, 2, 199, 398

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,120,124,398,276, is 2.

Now, the common factors can be found like this.

754:2x 13x 29

120:2x 2x 2x 3x 5

124:2x 2x 31

398:2x 199

276:2x 2x 3x 23

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 3 = 96

Therefore, the value for common factors is 96.

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 = 1232441832960/(2x96)

LCM = 1232441832960/192

LCM = 6418967880

Thus, we can understand that the LCM of 754,120,124,398,276 is 6418967880.

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

• LCM of 574, 286, 160, 760, 822
• LCM of 900, 458, 496, 252, 171
• LCM of 725, 155, 583, 637, 526
• LCM of 254, 846, 591, 820, 735
• LCM of 868, 303, 751, 183, 804

1. What is the LCM of 754, 120, 124, 398, 276?

Answer: LCM of 754, 120, 124, 398, 276 is 6418967880.

2. How to calculate the LCM of 754, 120, 124, 398, 276?

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 754, 120, 124, 398, 276.

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}.