LCM of 767, 298, 346, 714, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 298, 346, 714, 959 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, 298, 346, 714, 959. So, keep reading to learn more.
Given numbers are 767,298,346,714,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,298,346,714,959 is 1933955667462.
Find LCM of 767,298,346,714,959 with Prime Factorization
| 2 | 767, 298, 346, 714, 959 |
| 7 | 767, 149, 173, 357, 959 |
| 767, 149, 173, 51, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 767 x 149 x 173 x 51 x 137 = 1933955667462
Therefore, the lowest common multiple of 767,298,346,714,959 is 1933955667462.
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 298 x 346 x 714 x 959 = 54150758688936
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
298 : 1, 2, 149, 298
346 : 1, 2, 173, 346
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,298,346,714,959, is 1.
Now, the common factors can be found like this.
767:13x 59
298:2x 149
346:2x 173
714:2x 3x 7x 17
959:7x 137
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 7 = 28
Therefore, the value for common factors is 28.
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 = 54150758688936/(1x28)
LCM = 54150758688936/28
LCM = 1933955667462
Thus, we can understand that the LCM of 767,298,346,714,959 is 1933955667462.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 767, 298, 346, 714, 959
1. What is the LCM of 767, 298, 346, 714, 959?
Answer: LCM of 767, 298, 346, 714, 959 is 1933955667462.
2. How to calculate the LCM of 767, 298, 346, 714, 959?
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, 298, 346, 714, 959.
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}.