LCM of 250, 884, 429, 374, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 250, 884, 429, 374, 767 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 250, 884, 429, 374, 767. So, keep reading to learn more.
Given numbers are 250,884,429,374,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,884,429,374,767 is 215143500.
Find LCM of 250,884,429,374,767 with Prime Factorization
| 2 | 250, 884, 429, 374, 767 |
| 11 | 125, 442, 429, 187, 767 |
| 13 | 125, 442, 39, 17, 767 |
| 17 | 125, 34, 3, 17, 59 |
| 125, 2, 3, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 17 x 125 x 2 x 3 x 1 x 59 = 215143500
Therefore, the lowest common multiple of 250,884,429,374,767 is 215143500.
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.
250 x 884 x 429 x 374 x 767 = 27196720122000
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.
250 : 1, 2, 5, 10, 25, 50, 125, 250
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
429 : 1, 3, 11, 13, 33, 39, 143, 429
374 : 1, 2, 11, 17, 22, 34, 187, 374
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,884,429,374,767, is 1.
Now, the common factors can be found like this.
250:2x 5x 5x 5
884:2x 2x 13x 17
429:3x 11x 13
374:2x 11x 17
767:13x 59
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 11x 13x 13x 17 = 126412
Therefore, the value for common factors is 126412.
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 = 27196720122000/(1x126412)
LCM = 27196720122000/126412
LCM = 215143500
Thus, we can understand that the LCM of 250,884,429,374,767 is 215143500.
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FAQs on LCM of 250, 884, 429, 374, 767
1. What is the LCM of 250, 884, 429, 374, 767?
Answer: LCM of 250, 884, 429, 374, 767 is 215143500.
2. How to calculate the LCM of 250, 884, 429, 374, 767?
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 250, 884, 429, 374, 767.
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}.