LCM of 343, 714, 681, 714, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 714, 681, 714, 630 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 343, 714, 681, 714, 630. So, keep reading to learn more.
Given numbers are 343,714,681,714,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,714,681,714,630 is 119127330.
Find LCM of 343,714,681,714,630 with Prime Factorization
| 2 | 343, 714, 681, 714, 630 |
| 3 | 343, 357, 681, 357, 315 |
| 7 | 343, 119, 227, 119, 105 |
| 17 | 49, 17, 227, 17, 15 |
| 49, 1, 227, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 49 x 1 x 227 x 1 x 15 = 119127330
Therefore, the lowest common multiple of 343,714,681,714,630 is 119127330.
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.
343 x 714 x 681 x 714 x 630 = 75020197812840
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.
343 : 1, 7, 49, 343
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
681 : 1, 3, 227, 681
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,714,681,714,630, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
714:2x 3x 7x 17
681:3x 227
714:2x 3x 7x 17
630:2x 3x 3x 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 2x 3x 3x 3x 7x 7x 7x 17 = 629748
Therefore, the value for common factors is 629748.
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 = 75020197812840/(1x629748)
LCM = 75020197812840/629748
LCM = 119127330
Thus, we can understand that the LCM of 343,714,681,714,630 is 119127330.
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FAQs on LCM of 343, 714, 681, 714, 630
1. What is the LCM of 343, 714, 681, 714, 630?
Answer: LCM of 343, 714, 681, 714, 630 is 119127330.
2. How to calculate the LCM of 343, 714, 681, 714, 630?
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 343, 714, 681, 714, 630.
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}.