Given numbers are 949,637,312,614

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

The LCM of 949,637,312,614 is 342619368.

Find LCM of 949,637,312,614 with Prime Factorization

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

2 x 13 x 73 x 49 x 12 x 307 = 342619368

Therefore, the lowest common multiple of 949,637,312,614 is 342619368.

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.

949 x 637 x 312 x 614 = 115805346384

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.

949 : 1, 13, 73, 949

637 : 1, 7, 13, 49, 91, 637

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,637,312,614, is 1.

Now, the common factors can be found like this.

949:13x 73

637:7x 7x 13

312:2x 2x 2x 3x 13

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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 115805346384/(1x338)

LCM = 115805346384/338

LCM = 342619368

Thus, we can understand that the LCM of 949,637,312,614 is 342619368.

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

• LCM of 488, 600, 682, 833
• LCM of 936, 273, 347, 569
• LCM of 426, 684, 838, 133
• LCM of 538, 470, 821, 420
• LCM of 271, 606, 406, 651

1. What is the LCM of 949, 637, 312, 614?

Answer: LCM of 949, 637, 312, 614 is 342619368.

2. How to calculate the LCM of 949, 637, 312, 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 949, 637, 312, 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}.