LCM of 472, 920, 937, 979, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 920, 937, 979, 759 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 472, 920, 937, 979, 759. So, keep reading to learn more.
Given numbers are 472,920,937,979,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,920,937,979,759 is 149376877320.
Find LCM of 472,920,937,979,759 with Prime Factorization
| 2 | 472, 920, 937, 979, 759 |
| 2 | 236, 460, 937, 979, 759 |
| 2 | 118, 230, 937, 979, 759 |
| 11 | 59, 115, 937, 979, 759 |
| 23 | 59, 115, 937, 89, 69 |
| 59, 5, 937, 89, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 23 x 59 x 5 x 937 x 89 x 3 = 149376877320
Therefore, the lowest common multiple of 472,920,937,979,759 is 149376877320.
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.
472 x 920 x 937 x 979 x 759 = 302338799695680
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
937 : 1, 937
979 : 1, 11, 89, 979
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,920,937,979,759, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
920:2x 2x 2x 5x 23
937:937
979:11x 89
759:3x 11x 23
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 23 = 2024
Therefore, the value for common factors is 2024.
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 = 302338799695680/(1x2024)
LCM = 302338799695680/2024
LCM = 149376877320
Thus, we can understand that the LCM of 472,920,937,979,759 is 149376877320.
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FAQs on LCM of 472, 920, 937, 979, 759
1. What is the LCM of 472, 920, 937, 979, 759?
Answer: LCM of 472, 920, 937, 979, 759 is 149376877320.
2. How to calculate the LCM of 472, 920, 937, 979, 759?
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 472, 920, 937, 979, 759.
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}.