Given numbers are 635,578,658,314

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

The LCM of 635,578,658,314 is 18958200590.

Find LCM of 635,578,658,314 with Prime Factorization

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

2 x 635 x 289 x 329 x 157 = 18958200590

Therefore, the lowest common multiple of 635,578,658,314 is 18958200590.

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.

635 x 578 x 658 x 314 = 75832802360

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.

635 : 1, 5, 127, 635

578 : 1, 2, 17, 34, 289, 578

658 : 1, 2, 7, 14, 47, 94, 329, 658

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,578,658,314, is 1.

Now, the common factors can be found like this.

635:5x 127

578:2x 17x 17

658:2x 7x 47

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 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 = 75832802360/(1x4)

LCM = 75832802360/4

LCM = 18958200590

Thus, we can understand that the LCM of 635,578,658,314 is 18958200590.

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

• LCM of 534, 382, 343, 711
• LCM of 577, 684, 445, 846
• LCM of 737, 705, 518, 145
• LCM of 172, 547, 849, 983
• LCM of 420, 204, 636, 709

1. What is the LCM of 635, 578, 658, 314?

Answer: LCM of 635, 578, 658, 314 is 18958200590.

2. How to calculate the LCM of 635, 578, 658, 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 635, 578, 658, 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}.