LCM of 994, 710, 468, 748, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 710, 468, 748, 627 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 994, 710, 468, 748, 627. So, keep reading to learn more.
Given numbers are 994,710,468,748,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,710,468,748,627 is 4132067940.
Find LCM of 994,710,468,748,627 with Prime Factorization
| 2 | 994, 710, 468, 748, 627 |
| 2 | 497, 355, 234, 374, 627 |
| 3 | 497, 355, 117, 187, 627 |
| 11 | 497, 355, 39, 187, 209 |
| 71 | 497, 355, 39, 17, 19 |
| 7, 5, 39, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 71 x 7 x 5 x 39 x 17 x 19 = 4132067940
Therefore, the lowest common multiple of 994,710,468,748,627 is 4132067940.
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.
994 x 710 x 468 x 748 x 627 = 154902962934720
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
710 : 1, 2, 5, 10, 71, 142, 355, 710
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,710,468,748,627, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
710:2x 5x 71
468:2x 2x 3x 3x 13
748:2x 2x 11x 17
627:3x 11x 19
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 2x 3x 11x 71 = 37488
Therefore, the value for common factors is 37488.
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 = 154902962934720/(1x37488)
LCM = 154902962934720/37488
LCM = 4132067940
Thus, we can understand that the LCM of 994,710,468,748,627 is 4132067940.
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FAQs on LCM of 994, 710, 468, 748, 627
1. What is the LCM of 994, 710, 468, 748, 627?
Answer: LCM of 994, 710, 468, 748, 627 is 4132067940.
2. How to calculate the LCM of 994, 710, 468, 748, 627?
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 994, 710, 468, 748, 627.
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}.