LCM of 490, 357, 767, 375, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 357, 767, 375, 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 490, 357, 767, 375, 959. So, keep reading to learn more.
Given numbers are 490,357,767,375,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,357,767,375,959 is 65648105250.
Find LCM of 490,357,767,375,959 with Prime Factorization
| 3 | 490, 357, 767, 375, 959 |
| 5 | 490, 119, 767, 125, 959 |
| 7 | 98, 119, 767, 25, 959 |
| 14, 17, 767, 25, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 14 x 17 x 767 x 25 x 137 = 65648105250
Therefore, the lowest common multiple of 490,357,767,375,959 is 65648105250.
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.
490 x 357 x 767 x 375 x 959 = 48251357358750
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
357 : 1, 3, 7, 17, 21, 51, 119, 357
767 : 1, 13, 59, 767
375 : 1, 3, 5, 15, 25, 75, 125, 375
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,357,767,375,959, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
357:3x 7x 17
767:13x 59
375:3x 5x 5x 5
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.
3x 5x 7x 7 = 735
Therefore, the value for common factors is 735.
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 = 48251357358750/(1x735)
LCM = 48251357358750/735
LCM = 65648105250
Thus, we can understand that the LCM of 490,357,767,375,959 is 65648105250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 490, 357, 767, 375, 959
1. What is the LCM of 490, 357, 767, 375, 959?
Answer: LCM of 490, 357, 767, 375, 959 is 65648105250.
2. How to calculate the LCM of 490, 357, 767, 375, 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 490, 357, 767, 375, 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}.