Given numbers are 310,872,107,561,614

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

The LCM of 310,872,107,561,614 is 2490767541240.

Find LCM of 310,872,107,561,614 with Prime Factorization

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

2 x 155 x 436 x 107 x 561 x 307 = 2490767541240

Therefore, the lowest common multiple of 310,872,107,561,614 is 2490767541240.

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.

310 x 872 x 107 x 561 x 614 = 9963070164960

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

872 : 1, 2, 4, 8, 109, 218, 436, 872

107 : 1, 107

561 : 1, 3, 11, 17, 33, 51, 187, 561

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,872,107,561,614, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

872:2x 2x 2x 109

107:107

561:3x 11x 17

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9963070164960/(1x4)

LCM = 9963070164960/4

LCM = 2490767541240

Thus, we can understand that the LCM of 310,872,107,561,614 is 2490767541240.

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

• LCM of 519, 379, 868, 761, 995
• LCM of 319, 157, 461, 561, 995
• LCM of 224, 117, 528, 839, 211
• LCM of 810, 931, 689, 188, 744
• LCM of 718, 643, 878, 186, 566

1. What is the LCM of 310, 872, 107, 561, 614?

Answer: LCM of 310, 872, 107, 561, 614 is 2490767541240.

2. How to calculate the LCM of 310, 872, 107, 561, 614?

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 310, 872, 107, 561, 614.

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}.