LCM of 637, 740, 868, 916, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 740, 868, 916, 507 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 637, 740, 868, 916, 507. So, keep reading to learn more.
Given numbers are 637,740,868,916,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,740,868,916,507 is 130506738180.
Find LCM of 637,740,868,916,507 with Prime Factorization
| 2 | 637, 740, 868, 916, 507 |
| 2 | 637, 370, 434, 458, 507 |
| 7 | 637, 185, 217, 229, 507 |
| 13 | 91, 185, 31, 229, 507 |
| 7, 185, 31, 229, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 7 x 185 x 31 x 229 x 39 = 130506738180
Therefore, the lowest common multiple of 637,740,868,916,507 is 130506738180.
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.
637 x 740 x 868 x 916 x 507 = 190017810790080
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.
637 : 1, 7, 13, 49, 91, 637
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
916 : 1, 2, 4, 229, 458, 916
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,740,868,916,507, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
740:2x 2x 5x 37
868:2x 2x 7x 31
916:2x 2x 229
507:3x 13x 13
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 7x 13 = 1456
Therefore, the value for common factors is 1456.
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 = 190017810790080/(1x1456)
LCM = 190017810790080/1456
LCM = 130506738180
Thus, we can understand that the LCM of 637,740,868,916,507 is 130506738180.
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FAQs on LCM of 637, 740, 868, 916, 507
1. What is the LCM of 637, 740, 868, 916, 507?
Answer: LCM of 637, 740, 868, 916, 507 is 130506738180.
2. How to calculate the LCM of 637, 740, 868, 916, 507?
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 637, 740, 868, 916, 507.
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}.