Given numbers are 424,596,121,314

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

The LCM of 424,596,121,314 is 1200154472.

Find LCM of 424,596,121,314 with Prime Factorization

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

2 x 2 x 106 x 149 x 121 x 157 = 1200154472

Therefore, the lowest common multiple of 424,596,121,314 is 1200154472.

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.

424 x 596 x 121 x 314 = 9601235776

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

596 : 1, 2, 4, 149, 298, 596

121 : 1, 11, 121

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,596,121,314, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

596:2x 2x 149

121:11x 11

314:2x 157

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9601235776/(1x8)

LCM = 9601235776/8

LCM = 1200154472

Thus, we can understand that the LCM of 424,596,121,314 is 1200154472.

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

• LCM of 389, 496, 568, 567
• LCM of 628, 531, 273, 249
• LCM of 380, 644, 528, 496
• LCM of 103, 312, 383, 326
• LCM of 256, 140, 865, 456

1. What is the LCM of 424, 596, 121, 314?

Answer: LCM of 424, 596, 121, 314 is 1200154472.

2. How to calculate the LCM of 424, 596, 121, 314?

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 424, 596, 121, 314.

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}.