Given numbers are 988,118,149,936,114

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

The LCM of 988,118,149,936,114 is 156339144.

Find LCM of 988,118,149,936,114 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 1 x 59 x 149 x 6 x 1 = 156339144

Therefore, the lowest common multiple of 988,118,149,936,114 is 156339144.

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.

988 x 118 x 149 x 936 x 114 = 1853556891264

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.

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

118 : 1, 2, 59, 118

149 : 1, 149

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,118,149,936,114, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

118:2x 59

149:149

936:2x 2x 2x 3x 3x 13

114:2x 3x 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 3x 13x 19 = 11856

Therefore, the value for common factors is 11856.

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 = 1853556891264/(1x11856)

LCM = 1853556891264/11856

LCM = 156339144

Thus, we can understand that the LCM of 988,118,149,936,114 is 156339144.

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

• LCM of 813, 921, 418, 501, 904
• LCM of 867, 210, 762, 799, 571
• LCM of 768, 776, 308, 876, 372
• LCM of 543, 877, 226, 356, 885
• LCM of 256, 967, 955, 795, 838

1. What is the LCM of 988, 118, 149, 936, 114?

Answer: LCM of 988, 118, 149, 936, 114 is 156339144.

2. How to calculate the LCM of 988, 118, 149, 936, 114?

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 988, 118, 149, 936, 114.

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}.