LCM of 695, 630, 381, 695, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 630, 381, 695, 661 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 695, 630, 381, 695, 661. So, keep reading to learn more.
Given numbers are 695,630,381,695,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,630,381,695,661 is 7351238790.
Find LCM of 695,630,381,695,661 with Prime Factorization
| 3 | 695, 630, 381, 695, 661 |
| 5 | 695, 210, 127, 695, 661 |
| 139 | 139, 42, 127, 139, 661 |
| 1, 42, 127, 1, 661 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 139 x 1 x 42 x 127 x 1 x 661 = 7351238790
Therefore, the lowest common multiple of 695,630,381,695,661 is 7351238790.
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.
695 x 630 x 381 x 695 x 661 = 76636664385750
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.
695 : 1, 5, 139, 695
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
381 : 1, 3, 127, 381
695 : 1, 5, 139, 695
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,630,381,695,661, is 1.
Now, the common factors can be found like this.
695:5x 139
630:2x 3x 3x 5x 7
381:3x 127
695:5x 139
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 139 = 10425
Therefore, the value for common factors is 10425.
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 = 76636664385750/(1x10425)
LCM = 76636664385750/10425
LCM = 7351238790
Thus, we can understand that the LCM of 695,630,381,695,661 is 7351238790.
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FAQs on LCM of 695, 630, 381, 695, 661
1. What is the LCM of 695, 630, 381, 695, 661?
Answer: LCM of 695, 630, 381, 695, 661 is 7351238790.
2. How to calculate the LCM of 695, 630, 381, 695, 661?
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 695, 630, 381, 695, 661.
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}.