LCM of 354, 837, 667, 748, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 837, 667, 748, 637 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 354, 837, 667, 748, 637. So, keep reading to learn more.
Given numbers are 354,837,667,748,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,837,667,748,637 is 15694386143436.
Find LCM of 354,837,667,748,637 with Prime Factorization
| 2 | 354, 837, 667, 748, 637 |
| 3 | 177, 837, 667, 374, 637 |
| 59, 279, 667, 374, 637 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 279 x 667 x 374 x 637 = 15694386143436
Therefore, the lowest common multiple of 354,837,667,748,637 is 15694386143436.
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.
354 x 837 x 667 x 748 x 637 = 94166316860616
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
837 : 1, 3, 9, 27, 31, 93, 279, 837
667 : 1, 23, 29, 667
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,837,667,748,637, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
837:3x 3x 3x 31
667:23x 29
748:2x 2x 11x 17
637:7x 7x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 94166316860616/(1x6)
LCM = 94166316860616/6
LCM = 15694386143436
Thus, we can understand that the LCM of 354,837,667,748,637 is 15694386143436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 354, 837, 667, 748, 637
1. What is the LCM of 354, 837, 667, 748, 637?
Answer: LCM of 354, 837, 667, 748, 637 is 15694386143436.
2. How to calculate the LCM of 354, 837, 667, 748, 637?
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 354, 837, 667, 748, 637.
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}.