Given numbers are 495,228,508,318,740

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

The LCM of 495,228,508,318,740 is 9369148140.

Find LCM of 495,228,508,318,740 with Prime Factorization

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

2 x 2 x 3 x 5 x 33 x 19 x 127 x 53 x 37 = 9369148140

Therefore, the lowest common multiple of 495,228,508,318,740 is 9369148140.

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 228 x 508 x 318 x 740 = 13491573321600

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

508 : 1, 2, 4, 127, 254, 508

318 : 1, 2, 3, 6, 53, 106, 159, 318

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,228,508,318,740, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

228:2x 2x 3x 19

508:2x 2x 127

318:2x 3x 53

740:2x 2x 5x 37

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 2x 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 13491573321600/(1x1440)

LCM = 13491573321600/1440

LCM = 9369148140

Thus, we can understand that the LCM of 495,228,508,318,740 is 9369148140.

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

• LCM of 560, 414, 939, 925, 825
• LCM of 799, 520, 862, 744, 147
• LCM of 150, 659, 808, 677, 128
• LCM of 433, 150, 396, 834, 236
• LCM of 190, 179, 150, 409, 505

1. What is the LCM of 495, 228, 508, 318, 740?

Answer: LCM of 495, 228, 508, 318, 740 is 9369148140.

2. How to calculate the LCM of 495, 228, 508, 318, 740?

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, 228, 508, 318, 740.

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}.