LCM of 260, 565, 748, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 565, 748, 714 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 260, 565, 748, 714. So, keep reading to learn more.
Given numbers are 260,565,748,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,565,748,714 is 115375260.
Find LCM of 260,565,748,714 with Prime Factorization
| 2 | 260, 565, 748, 714 |
| 2 | 130, 565, 374, 357 |
| 5 | 65, 565, 187, 357 |
| 17 | 13, 113, 187, 357 |
| 13, 113, 11, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 13 x 113 x 11 x 21 = 115375260
Therefore, the lowest common multiple of 260,565,748,714 is 115375260.
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.
260 x 565 x 748 x 714 = 78455176800
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
565 : 1, 5, 113, 565
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,565,748,714, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
565:5x 113
748:2x 2x 11x 17
714:2x 3x 7x 17
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 2x 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 78455176800/(1x680)
LCM = 78455176800/680
LCM = 115375260
Thus, we can understand that the LCM of 260,565,748,714 is 115375260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 260, 565, 748, 714
1. What is the LCM of 260, 565, 748, 714?
Answer: LCM of 260, 565, 748, 714 is 115375260.
2. How to calculate the LCM of 260, 565, 748, 714?
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 260, 565, 748, 714.
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}.