LCM of 781, 242, 657, 651, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 242, 657, 651, 432 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 781, 242, 657, 651, 432. So, keep reading to learn more.
Given numbers are 781,242,657,651,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,242,657,651,432 is 58790893392.
Find LCM of 781,242,657,651,432 with Prime Factorization
| 2 | 781, 242, 657, 651, 432 |
| 3 | 781, 121, 657, 651, 216 |
| 3 | 781, 121, 219, 217, 72 |
| 11 | 781, 121, 73, 217, 24 |
| 71, 11, 73, 217, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 71 x 11 x 73 x 217 x 24 = 58790893392
Therefore, the lowest common multiple of 781,242,657,651,432 is 58790893392.
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.
781 x 242 x 657 x 651 x 432 = 34921790674848
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.
781 : 1, 11, 71, 781
242 : 1, 2, 11, 22, 121, 242
657 : 1, 3, 9, 73, 219, 657
651 : 1, 3, 7, 21, 31, 93, 217, 651
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,242,657,651,432, is 1.
Now, the common factors can be found like this.
781:11x 71
242:2x 11x 11
657:3x 3x 73
651:3x 7x 31
432:2x 2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 34921790674848/(1x594)
LCM = 34921790674848/594
LCM = 58790893392
Thus, we can understand that the LCM of 781,242,657,651,432 is 58790893392.
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FAQs on LCM of 781, 242, 657, 651, 432
1. What is the LCM of 781, 242, 657, 651, 432?
Answer: LCM of 781, 242, 657, 651, 432 is 58790893392.
2. How to calculate the LCM of 781, 242, 657, 651, 432?
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 781, 242, 657, 651, 432.
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}.