LCM of 542, 659, 842, 616, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 659, 842, 616, 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 542, 659, 842, 616, 748. So, keep reading to learn more.
Given numbers are 542,659,842,616,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,659,842,616,748 is 787347467368.
Find LCM of 542,659,842,616,748 with Prime Factorization
| 2 | 542, 659, 842, 616, 748 |
| 2 | 271, 659, 421, 308, 374 |
| 11 | 271, 659, 421, 154, 187 |
| 271, 659, 421, 14, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 271 x 659 x 421 x 14 x 17 = 787347467368
Therefore, the lowest common multiple of 542,659,842,616,748 is 787347467368.
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.
542 x 659 x 842 x 616 x 748 = 138573154256768
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.
542 : 1, 2, 271, 542
659 : 1, 659
842 : 1, 2, 421, 842
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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 542,659,842,616,748, is 1.
Now, the common factors can be found like this.
542:2x 271
659:659
842:2x 421
616:2x 2x 2x 7x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 138573154256768/(1x176)
LCM = 138573154256768/176
LCM = 787347467368
Thus, we can understand that the LCM of 542,659,842,616,748 is 787347467368.
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FAQs on LCM of 542, 659, 842, 616, 748
1. What is the LCM of 542, 659, 842, 616, 748?
Answer: LCM of 542, 659, 842, 616, 748 is 787347467368.
2. How to calculate the LCM of 542, 659, 842, 616, 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 542, 659, 842, 616, 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}.