LCM of 617, 121, 618, 299, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 121, 618, 299, 962 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 617, 121, 618, 299, 962. So, keep reading to learn more.
Given numbers are 617,121,618,299,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,121,618,299,962 is 510424981638.
Find LCM of 617,121,618,299,962 with Prime Factorization
| 2 | 617, 121, 618, 299, 962 |
| 13 | 617, 121, 309, 299, 481 |
| 617, 121, 309, 23, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 617 x 121 x 309 x 23 x 37 = 510424981638
Therefore, the lowest common multiple of 617,121,618,299,962 is 510424981638.
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.
617 x 121 x 618 x 299 x 962 = 13271049522588
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.
617 : 1, 617
121 : 1, 11, 121
618 : 1, 2, 3, 6, 103, 206, 309, 618
299 : 1, 13, 23, 299
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,121,618,299,962, is 1.
Now, the common factors can be found like this.
617:617
121:11x 11
618:2x 3x 103
299:13x 23
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 13271049522588/(1x26)
LCM = 13271049522588/26
LCM = 510424981638
Thus, we can understand that the LCM of 617,121,618,299,962 is 510424981638.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 617, 121, 618, 299, 962
1. What is the LCM of 617, 121, 618, 299, 962?
Answer: LCM of 617, 121, 618, 299, 962 is 510424981638.
2. How to calculate the LCM of 617, 121, 618, 299, 962?
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 617, 121, 618, 299, 962.
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}.