LCM of 651, 502, 297, 341, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 502, 297, 341, 746 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 651, 502, 297, 341, 746. So, keep reading to learn more.
Given numbers are 651,502,297,341,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,502,297,341,746 is 12067817454.
Find LCM of 651,502,297,341,746 with Prime Factorization
| 2 | 651, 502, 297, 341, 746 |
| 3 | 651, 251, 297, 341, 373 |
| 11 | 217, 251, 99, 341, 373 |
| 31 | 217, 251, 9, 31, 373 |
| 7, 251, 9, 1, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 7 x 251 x 9 x 1 x 373 = 12067817454
Therefore, the lowest common multiple of 651,502,297,341,746 is 12067817454.
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.
651 x 502 x 297 x 341 x 746 = 24690754510884
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
502 : 1, 2, 251, 502
297 : 1, 3, 9, 11, 27, 33, 99, 297
341 : 1, 11, 31, 341
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,502,297,341,746, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
502:2x 251
297:3x 3x 3x 11
341:11x 31
746:2x 373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 31 = 2046
Therefore, the value for common factors is 2046.
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 = 24690754510884/(1x2046)
LCM = 24690754510884/2046
LCM = 12067817454
Thus, we can understand that the LCM of 651,502,297,341,746 is 12067817454.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 651, 502, 297, 341, 746
1. What is the LCM of 651, 502, 297, 341, 746?
Answer: LCM of 651, 502, 297, 341, 746 is 12067817454.
2. How to calculate the LCM of 651, 502, 297, 341, 746?
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 651, 502, 297, 341, 746.
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}.