LCM of 149, 550, 536, 988, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 149, 550, 536, 988, 737 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 149, 550, 536, 988, 737. So, keep reading to learn more.
Given numbers are 149,550,536,988,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 149,550,536,988,737 is 5424762200.
Find LCM of 149,550,536,988,737 with Prime Factorization
| 2 | 149, 550, 536, 988, 737 |
| 2 | 149, 275, 268, 494, 737 |
| 11 | 149, 275, 134, 247, 737 |
| 67 | 149, 25, 134, 247, 67 |
| 149, 25, 2, 247, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 149 x 25 x 2 x 247 x 1 = 5424762200
Therefore, the lowest common multiple of 149,550,536,988,737 is 5424762200.
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.
149 x 550 x 536 x 988 x 737 = 31984397931200
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.
149 : 1, 149
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
536 : 1, 2, 4, 8, 67, 134, 268, 536
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,550,536,988,737, is 1.
Now, the common factors can be found like this.
149:149
550:2x 5x 5x 11
536:2x 2x 2x 67
988:2x 2x 13x 19
737:11x 67
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 11x 67 = 5896
Therefore, the value for common factors is 5896.
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 = 31984397931200/(1x5896)
LCM = 31984397931200/5896
LCM = 5424762200
Thus, we can understand that the LCM of 149,550,536,988,737 is 5424762200.
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FAQs on LCM of 149, 550, 536, 988, 737
1. What is the LCM of 149, 550, 536, 988, 737?
Answer: LCM of 149, 550, 536, 988, 737 is 5424762200.
2. How to calculate the LCM of 149, 550, 536, 988, 737?
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 149, 550, 536, 988, 737.
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}.