LCM of 746, 278, 561, 300, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 278, 561, 300, 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 746, 278, 561, 300, 714. So, keep reading to learn more.
Given numbers are 746,278,561,300,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,278,561,300,714 is 20360316900.
Find LCM of 746,278,561,300,714 with Prime Factorization
| 2 | 746, 278, 561, 300, 714 |
| 3 | 373, 139, 561, 150, 357 |
| 17 | 373, 139, 187, 50, 119 |
| 373, 139, 11, 50, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 373 x 139 x 11 x 50 x 7 = 20360316900
Therefore, the lowest common multiple of 746,278,561,300,714 is 20360316900.
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.
746 x 278 x 561 x 300 x 714 = 24921027885600
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.
746 : 1, 2, 373, 746
278 : 1, 2, 139, 278
561 : 1, 3, 11, 17, 33, 51, 187, 561
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 746,278,561,300,714, is 1.
Now, the common factors can be found like this.
746:2x 373
278:2x 139
561:3x 11x 17
300:2x 2x 3x 5x 5
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 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 24921027885600/(1x1224)
LCM = 24921027885600/1224
LCM = 20360316900
Thus, we can understand that the LCM of 746,278,561,300,714 is 20360316900.
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FAQs on LCM of 746, 278, 561, 300, 714
1. What is the LCM of 746, 278, 561, 300, 714?
Answer: LCM of 746, 278, 561, 300, 714 is 20360316900.
2. How to calculate the LCM of 746, 278, 561, 300, 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 746, 278, 561, 300, 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}.