LCM of 767, 398, 416, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 398, 416, 875 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 767, 398, 416, 875. So, keep reading to learn more.
Given numbers are 767,398,416,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,398,416,875 is 4273724000.
Find LCM of 767,398,416,875 with Prime Factorization
| 2 | 767, 398, 416, 875 |
| 13 | 767, 199, 208, 875 |
| 59, 199, 16, 875 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 59 x 199 x 16 x 875 = 4273724000
Therefore, the lowest common multiple of 767,398,416,875 is 4273724000.
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.
767 x 398 x 416 x 875 = 111116824000
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.
767 : 1, 13, 59, 767
398 : 1, 2, 199, 398
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,398,416,875, is 1.
Now, the common factors can be found like this.
767:13x 59
398:2x 199
416:2x 2x 2x 2x 2x 13
875:5x 5x 5x 7
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 = 111116824000/(1x26)
LCM = 111116824000/26
LCM = 4273724000
Thus, we can understand that the LCM of 767,398,416,875 is 4273724000.
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FAQs on LCM of 767, 398, 416, 875
1. What is the LCM of 767, 398, 416, 875?
Answer: LCM of 767, 398, 416, 875 is 4273724000.
2. How to calculate the LCM of 767, 398, 416, 875?
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 767, 398, 416, 875.
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}.