LCM of 131, 924, 902, 548, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 924, 902, 548, 657 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 131, 924, 902, 548, 657. So, keep reading to learn more.
Given numbers are 131,924,902,548,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,924,902,548,657 is 148899008412.
Find LCM of 131,924,902,548,657 with Prime Factorization
| 2 | 131, 924, 902, 548, 657 |
| 2 | 131, 462, 451, 274, 657 |
| 3 | 131, 231, 451, 137, 657 |
| 11 | 131, 77, 451, 137, 219 |
| 131, 7, 41, 137, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 131 x 7 x 41 x 137 x 219 = 148899008412
Therefore, the lowest common multiple of 131,924,902,548,657 is 148899008412.
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.
131 x 924 x 902 x 548 x 657 = 39309338220768
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.
131 : 1, 131
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
902 : 1, 2, 11, 22, 41, 82, 451, 902
548 : 1, 2, 4, 137, 274, 548
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,924,902,548,657, is 1.
Now, the common factors can be found like this.
131:131
924:2x 2x 3x 7x 11
902:2x 11x 41
548:2x 2x 137
657:3x 3x 73
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 39309338220768/(1x264)
LCM = 39309338220768/264
LCM = 148899008412
Thus, we can understand that the LCM of 131,924,902,548,657 is 148899008412.
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FAQs on LCM of 131, 924, 902, 548, 657
1. What is the LCM of 131, 924, 902, 548, 657?
Answer: LCM of 131, 924, 902, 548, 657 is 148899008412.
2. How to calculate the LCM of 131, 924, 902, 548, 657?
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 131, 924, 902, 548, 657.
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}.