LCM of 869, 506, 337, 972, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 506, 337, 972, 337 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 869, 506, 337, 972, 337. So, keep reading to learn more.
Given numbers are 869,506,337,972,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,506,337,972,337 is 6547021668.
Find LCM of 869,506,337,972,337 with Prime Factorization
| 2 | 869, 506, 337, 972, 337 |
| 11 | 869, 253, 337, 486, 337 |
| 337 | 79, 23, 337, 486, 337 |
| 79, 23, 1, 486, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 337 x 79 x 23 x 1 x 486 x 1 = 6547021668
Therefore, the lowest common multiple of 869,506,337,972,337 is 6547021668.
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.
869 x 506 x 337 x 972 x 337 = 48539618646552
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.
869 : 1, 11, 79, 869
506 : 1, 2, 11, 22, 23, 46, 253, 506
337 : 1, 337
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,506,337,972,337, is 1.
Now, the common factors can be found like this.
869:11x 79
506:2x 11x 23
337:337
972:2x 2x 3x 3x 3x 3x 3
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 337 = 7414
Therefore, the value for common factors is 7414.
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 = 48539618646552/(1x7414)
LCM = 48539618646552/7414
LCM = 6547021668
Thus, we can understand that the LCM of 869,506,337,972,337 is 6547021668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 869, 506, 337, 972, 337
1. What is the LCM of 869, 506, 337, 972, 337?
Answer: LCM of 869, 506, 337, 972, 337 is 6547021668.
2. How to calculate the LCM of 869, 506, 337, 972, 337?
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 869, 506, 337, 972, 337.
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}.