Given numbers are 495,354,614

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

The LCM of 495,354,614 is 17931870.

Find LCM of 495,354,614 with Prime Factorization

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

2 x 3 x 165 x 59 x 307 = 17931870

Therefore, the lowest common multiple of 495,354,614 is 17931870.

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.

495 x 354 x 614 = 107591220

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

354 : 1, 2, 3, 6, 59, 118, 177, 354

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,354,614, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

354:2x 3x 59

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 3 = 6

Therefore, the value for common factors is 6.

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 = 107591220/(1x6)

LCM = 107591220/6

LCM = 17931870

Thus, we can understand that the LCM of 495,354,614 is 17931870.

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

• LCM of 584, 418, 330
• LCM of 436, 287, 265
• LCM of 540, 150, 189
• LCM of 844, 804, 823
• LCM of 374, 814, 145

1. What is the LCM of 495, 354, 614?

Answer: LCM of 495, 354, 614 is 17931870.

2. How to calculate the LCM of 495, 354, 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 495, 354, 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}.