LCM of 377, 630, 963, 859, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 630, 963, 859, 965 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 377, 630, 963, 859, 965. So, keep reading to learn more.
Given numbers are 377,630,963,859,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,630,963,859,965 is 4213239529590.
Find LCM of 377,630,963,859,965 with Prime Factorization
| 3 | 377, 630, 963, 859, 965 |
| 3 | 377, 210, 321, 859, 965 |
| 5 | 377, 70, 107, 859, 965 |
| 377, 14, 107, 859, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 377 x 14 x 107 x 859 x 193 = 4213239529590
Therefore, the lowest common multiple of 377,630,963,859,965 is 4213239529590.
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.
377 x 630 x 963 x 859 x 965 = 189595778831550
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.
377 : 1, 13, 29, 377
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
963 : 1, 3, 9, 107, 321, 963
859 : 1, 859
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,630,963,859,965, is 1.
Now, the common factors can be found like this.
377:13x 29
630:2x 3x 3x 5x 7
963:3x 3x 107
859:859
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 189595778831550/(1x45)
LCM = 189595778831550/45
LCM = 4213239529590
Thus, we can understand that the LCM of 377,630,963,859,965 is 4213239529590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 377, 630, 963, 859, 965
1. What is the LCM of 377, 630, 963, 859, 965?
Answer: LCM of 377, 630, 963, 859, 965 is 4213239529590.
2. How to calculate the LCM of 377, 630, 963, 859, 965?
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 377, 630, 963, 859, 965.
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}.