LCM of 708, 767, 789, 902, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 767, 789, 902, 380 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 708, 767, 789, 902, 380. So, keep reading to learn more.
Given numbers are 708,767,789,902,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,767,789,902,380 is 103712834940.
Find LCM of 708,767,789,902,380 with Prime Factorization
| 2 | 708, 767, 789, 902, 380 |
| 2 | 354, 767, 789, 451, 190 |
| 3 | 177, 767, 789, 451, 95 |
| 59 | 59, 767, 263, 451, 95 |
| 1, 13, 263, 451, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 1 x 13 x 263 x 451 x 95 = 103712834940
Therefore, the lowest common multiple of 708,767,789,902,380 is 103712834940.
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.
708 x 767 x 789 x 902 x 380 = 146857374275040
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
767 : 1, 13, 59, 767
789 : 1, 3, 263, 789
902 : 1, 2, 11, 22, 41, 82, 451, 902
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,767,789,902,380, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
767:13x 59
789:3x 263
902:2x 11x 41
380:2x 2x 5x 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 3x 59 = 1416
Therefore, the value for common factors is 1416.
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 = 146857374275040/(1x1416)
LCM = 146857374275040/1416
LCM = 103712834940
Thus, we can understand that the LCM of 708,767,789,902,380 is 103712834940.
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FAQs on LCM of 708, 767, 789, 902, 380
1. What is the LCM of 708, 767, 789, 902, 380?
Answer: LCM of 708, 767, 789, 902, 380 is 103712834940.
2. How to calculate the LCM of 708, 767, 789, 902, 380?
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 708, 767, 789, 902, 380.
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}.