Given numbers are 498,117,175,278

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

The LCM of 498,117,175,278 is 472440150.

Find LCM of 498,117,175,278 with Prime Factorization

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

2 x 3 x 83 x 39 x 175 x 139 = 472440150

Therefore, the lowest common multiple of 498,117,175,278 is 472440150.

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.

498 x 117 x 175 x 278 = 2834640900

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

117 : 1, 3, 9, 13, 39, 117

175 : 1, 5, 7, 25, 35, 175

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,117,175,278, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

117:3x 3x 13

175:5x 5x 7

278:2x 139

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 = 2834640900/(1x6)

LCM = 2834640900/6

LCM = 472440150

Thus, we can understand that the LCM of 498,117,175,278 is 472440150.

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

• LCM of 600, 206, 637, 454
• LCM of 684, 604, 234, 708
• LCM of 900, 491, 452, 867
• LCM of 118, 925, 171, 401
• LCM of 790, 967, 638, 647

1. What is the LCM of 498, 117, 175, 278?

Answer: LCM of 498, 117, 175, 278 is 472440150.

2. How to calculate the LCM of 498, 117, 175, 278?

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 498, 117, 175, 278.

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}.