LCM of 974, 527, 918, 826, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 527, 918, 826, 651 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 974, 527, 918, 826, 651. So, keep reading to learn more.
Given numbers are 974,527,918,826,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,527,918,826,651 is 5723785998.
Find LCM of 974,527,918,826,651 with Prime Factorization
| 2 | 974, 527, 918, 826, 651 |
| 3 | 487, 527, 459, 413, 651 |
| 7 | 487, 527, 153, 413, 217 |
| 17 | 487, 527, 153, 59, 31 |
| 31 | 487, 31, 9, 59, 31 |
| 487, 1, 9, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 31 x 487 x 1 x 9 x 59 x 1 = 5723785998
Therefore, the lowest common multiple of 974,527,918,826,651 is 5723785998.
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.
974 x 527 x 918 x 826 x 651 = 253380558559464
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.
974 : 1, 2, 487, 974
527 : 1, 17, 31, 527
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
826 : 1, 2, 7, 14, 59, 118, 413, 826
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,527,918,826,651, is 1.
Now, the common factors can be found like this.
974:2x 487
527:17x 31
918:2x 3x 3x 3x 17
826:2x 7x 59
651:3x 7x 31
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 3x 7x 17x 31 = 44268
Therefore, the value for common factors is 44268.
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 = 253380558559464/(1x44268)
LCM = 253380558559464/44268
LCM = 5723785998
Thus, we can understand that the LCM of 974,527,918,826,651 is 5723785998.
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FAQs on LCM of 974, 527, 918, 826, 651
1. What is the LCM of 974, 527, 918, 826, 651?
Answer: LCM of 974, 527, 918, 826, 651 is 5723785998.
2. How to calculate the LCM of 974, 527, 918, 826, 651?
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 974, 527, 918, 826, 651.
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}.