LCM of 778, 616, 341, 749, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 616, 341, 749, 616 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, 616, 341, 749, 616. So, keep reading to learn more.
Given numbers are 778,616,341,749,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,616,341,749,616 is 794832808.
Find LCM of 778,616,341,749,616 with Prime Factorization
| 2 | 778, 616, 341, 749, 616 |
| 2 | 389, 308, 341, 749, 308 |
| 2 | 389, 154, 341, 749, 154 |
| 7 | 389, 77, 341, 749, 77 |
| 11 | 389, 11, 341, 107, 11 |
| 389, 1, 31, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 389 x 1 x 31 x 107 x 1 = 794832808
Therefore, the lowest common multiple of 778,616,341,749,616 is 794832808.
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 616 x 341 x 749 x 616 = 75401019498112
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
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
341 : 1, 11, 31, 341
749 : 1, 7, 107, 749
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,616,341,749,616, is 1.
Now, the common factors can be found like this.
778:2x 389
616:2x 2x 2x 7x 11
341:11x 31
749:7x 107
616:2x 2x 2x 7x 11
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 7x 7x 11x 11 = 94864
Therefore, the value for common factors is 94864.
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 = 75401019498112/(1x94864)
LCM = 75401019498112/94864
LCM = 794832808
Thus, we can understand that the LCM of 778,616,341,749,616 is 794832808.
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FAQs on LCM of 778, 616, 341, 749, 616
1. What is the LCM of 778, 616, 341, 749, 616?
Answer: LCM of 778, 616, 341, 749, 616 is 794832808.
2. How to calculate the LCM of 778, 616, 341, 749, 616?
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, 616, 341, 749, 616.
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}.