LCM of 778, 268, 671, 528, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 268, 671, 528, 369 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 778, 268, 671, 528, 369. So, keep reading to learn more.
Given numbers are 778,268,671,528,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,268,671,528,369 is 103250763792.
Find LCM of 778,268,671,528,369 with Prime Factorization
| 2 | 778, 268, 671, 528, 369 |
| 2 | 389, 134, 671, 264, 369 |
| 3 | 389, 67, 671, 132, 369 |
| 11 | 389, 67, 671, 44, 123 |
| 389, 67, 61, 4, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 389 x 67 x 61 x 4 x 123 = 103250763792
Therefore, the lowest common multiple of 778,268,671,528,369 is 103250763792.
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.
778 x 268 x 671 x 528 x 369 = 27258201641088
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.
778 : 1, 2, 389, 778
268 : 1, 2, 4, 67, 134, 268
671 : 1, 11, 61, 671
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,268,671,528,369, is 1.
Now, the common factors can be found like this.
778:2x 389
268:2x 2x 67
671:11x 61
528:2x 2x 2x 2x 3x 11
369:3x 3x 41
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 11 = 264
Therefore, the value for common factors is 264.
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 = 27258201641088/(1x264)
LCM = 27258201641088/264
LCM = 103250763792
Thus, we can understand that the LCM of 778,268,671,528,369 is 103250763792.
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FAQs on LCM of 778, 268, 671, 528, 369
1. What is the LCM of 778, 268, 671, 528, 369?
Answer: LCM of 778, 268, 671, 528, 369 is 103250763792.
2. How to calculate the LCM of 778, 268, 671, 528, 369?
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 778, 268, 671, 528, 369.
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}.