LCM of 476, 314, 952, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 314, 952, 761 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 476, 314, 952, 761. So, keep reading to learn more.
Given numbers are 476,314,952,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,314,952,761 is 113742104.
Find LCM of 476,314,952,761 with Prime Factorization
| 2 | 476, 314, 952, 761 |
| 2 | 238, 157, 476, 761 |
| 7 | 119, 157, 238, 761 |
| 17 | 17, 157, 34, 761 |
| 1, 157, 2, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 1 x 157 x 2 x 761 = 113742104
Therefore, the lowest common multiple of 476,314,952,761 is 113742104.
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.
476 x 314 x 952 x 761 = 108282483008
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
314 : 1, 2, 157, 314
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,314,952,761, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
314:2x 157
952:2x 2x 2x 7x 17
761:761
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 2x 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 108282483008/(1x952)
LCM = 108282483008/952
LCM = 113742104
Thus, we can understand that the LCM of 476,314,952,761 is 113742104.
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FAQs on LCM of 476, 314, 952, 761
1. What is the LCM of 476, 314, 952, 761?
Answer: LCM of 476, 314, 952, 761 is 113742104.
2. How to calculate the LCM of 476, 314, 952, 761?
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 476, 314, 952, 761.
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}.