LCM of 146, 716, 884, 657, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 716, 884, 657, 748 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 146, 716, 884, 657, 748. So, keep reading to learn more.
Given numbers are 146,716,884,657,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,716,884,657,748 is 1143571572.
Find LCM of 146,716,884,657,748 with Prime Factorization
| 2 | 146, 716, 884, 657, 748 |
| 2 | 73, 358, 442, 657, 374 |
| 17 | 73, 179, 221, 657, 187 |
| 73 | 73, 179, 13, 657, 11 |
| 1, 179, 13, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 73 x 1 x 179 x 13 x 9 x 11 = 1143571572
Therefore, the lowest common multiple of 146,716,884,657,748 is 1143571572.
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.
146 x 716 x 884 x 657 x 748 = 45413514267264
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.
146 : 1, 2, 73, 146
716 : 1, 2, 4, 179, 358, 716
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
657 : 1, 3, 9, 73, 219, 657
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,716,884,657,748, is 1.
Now, the common factors can be found like this.
146:2x 73
716:2x 2x 179
884:2x 2x 13x 17
657:3x 3x 73
748:2x 2x 11x 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 2x 2x 17x 73 = 39712
Therefore, the value for common factors is 39712.
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 = 45413514267264/(1x39712)
LCM = 45413514267264/39712
LCM = 1143571572
Thus, we can understand that the LCM of 146,716,884,657,748 is 1143571572.
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FAQs on LCM of 146, 716, 884, 657, 748
1. What is the LCM of 146, 716, 884, 657, 748?
Answer: LCM of 146, 716, 884, 657, 748 is 1143571572.
2. How to calculate the LCM of 146, 716, 884, 657, 748?
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 146, 716, 884, 657, 748.
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}.