LCM of 591, 690, 501, 781, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 690, 501, 781, 778 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 591, 690, 501, 781, 778. So, keep reading to learn more.
Given numbers are 591,690,501,781,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,690,501,781,778 is 6896558480790.
Find LCM of 591,690,501,781,778 with Prime Factorization
| 2 | 591, 690, 501, 781, 778 |
| 3 | 591, 345, 501, 781, 389 |
| 197, 115, 167, 781, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 115 x 167 x 781 x 389 = 6896558480790
Therefore, the lowest common multiple of 591,690,501,781,778 is 6896558480790.
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.
591 x 690 x 501 x 781 x 778 = 124138052654220
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.
591 : 1, 3, 197, 591
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
501 : 1, 3, 167, 501
781 : 1, 11, 71, 781
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,690,501,781,778, is 1.
Now, the common factors can be found like this.
591:3x 197
690:2x 3x 5x 23
501:3x 167
781:11x 71
778:2x 389
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 3 = 18
Therefore, the value for common factors is 18.
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 = 124138052654220/(1x18)
LCM = 124138052654220/18
LCM = 6896558480790
Thus, we can understand that the LCM of 591,690,501,781,778 is 6896558480790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 690, 501, 781, 778
1. What is the LCM of 591, 690, 501, 781, 778?
Answer: LCM of 591, 690, 501, 781, 778 is 6896558480790.
2. How to calculate the LCM of 591, 690, 501, 781, 778?
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 591, 690, 501, 781, 778.
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}.