Given numbers are 544,149,338,988,418

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

The LCM of 544,149,338,988,418 is 2862978976.

Find LCM of 544,149,338,988,418 with Prime Factorization

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

2 x 2 x 13 x 19 x 136 x 149 x 13 x 1 x 11 = 2862978976

Therefore, the lowest common multiple of 544,149,338,988,418 is 2862978976.

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.

544 x 149 x 338 x 988 x 418 = 11314492913152

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

149 : 1, 149

338 : 1, 2, 13, 26, 169, 338

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,149,338,988,418, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

149:149

338:2x 13x 13

988:2x 2x 13x 19

418:2x 11x 19

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 13x 19 = 3952

Therefore, the value for common factors is 3952.

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 = 11314492913152/(1x3952)

LCM = 11314492913152/3952

LCM = 2862978976

Thus, we can understand that the LCM of 544,149,338,988,418 is 2862978976.

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

• LCM of 956, 779, 994, 757, 888
• LCM of 207, 626, 834, 639, 135
• LCM of 937, 152, 962, 750, 223
• LCM of 549, 680, 199, 765, 692
• LCM of 155, 168, 850, 765, 629

1. What is the LCM of 544, 149, 338, 988, 418?

Answer: LCM of 544, 149, 338, 988, 418 is 2862978976.

2. How to calculate the LCM of 544, 149, 338, 988, 418?

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 544, 149, 338, 988, 418.

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}.