LCM of 124, 302, 951, 618, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 302, 951, 618, 905 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 124, 302, 951, 618, 905. So, keep reading to learn more.
Given numbers are 124,302,951,618,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,302,951,618,905 is 1659835134660.
Find LCM of 124,302,951,618,905 with Prime Factorization
| 2 | 124, 302, 951, 618, 905 |
| 3 | 62, 151, 951, 309, 905 |
| 62, 151, 317, 103, 905 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 62 x 151 x 317 x 103 x 905 = 1659835134660
Therefore, the lowest common multiple of 124,302,951,618,905 is 1659835134660.
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.
124 x 302 x 951 x 618 x 905 = 19918021615920
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.
124 : 1, 2, 4, 31, 62, 124
302 : 1, 2, 151, 302
951 : 1, 3, 317, 951
618 : 1, 2, 3, 6, 103, 206, 309, 618
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,302,951,618,905, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
302:2x 151
951:3x 317
618:2x 3x 103
905:5x 181
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 3 = 12
Therefore, the value for common factors is 12.
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 = 19918021615920/(1x12)
LCM = 19918021615920/12
LCM = 1659835134660
Thus, we can understand that the LCM of 124,302,951,618,905 is 1659835134660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 124, 302, 951, 618, 905
1. What is the LCM of 124, 302, 951, 618, 905?
Answer: LCM of 124, 302, 951, 618, 905 is 1659835134660.
2. How to calculate the LCM of 124, 302, 951, 618, 905?
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 124, 302, 951, 618, 905.
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}.