LCM of 808, 749, 190, 606, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 749, 190, 606, 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 808, 749, 190, 606, 778. So, keep reading to learn more.
Given numbers are 808,749,190,606,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,749,190,606,778 is 67094611080.
Find LCM of 808,749,190,606,778 with Prime Factorization
| 2 | 808, 749, 190, 606, 778 |
| 101 | 404, 749, 95, 303, 389 |
| 4, 749, 95, 3, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 101 x 4 x 749 x 95 x 3 x 389 = 67094611080
Therefore, the lowest common multiple of 808,749,190,606,778 is 67094611080.
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.
808 x 749 x 190 x 606 x 778 = 54212445752640
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
749 : 1, 7, 107, 749
190 : 1, 2, 5, 10, 19, 38, 95, 190
606 : 1, 2, 3, 6, 101, 202, 303, 606
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,749,190,606,778, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
749:7x 107
190:2x 5x 19
606:2x 3x 101
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 2x 2x 101 = 808
Therefore, the value for common factors is 808.
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 = 54212445752640/(1x808)
LCM = 54212445752640/808
LCM = 67094611080
Thus, we can understand that the LCM of 808,749,190,606,778 is 67094611080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 749, 190, 606, 778
1. What is the LCM of 808, 749, 190, 606, 778?
Answer: LCM of 808, 749, 190, 606, 778 is 67094611080.
2. How to calculate the LCM of 808, 749, 190, 606, 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 808, 749, 190, 606, 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}.