Find the LCM of 617, 275, 708, 630, 136 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 617, 275, 708, 630, 136. So, keep reading to learn more.
Given numbers are 617,275,708,630,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,275,708,630,136 is 85772748600.
Find LCM of 617,275,708,630,136 with Prime Factorization
2 | 617, 275, 708, 630, 136 |
2 | 617, 275, 354, 315, 68 |
3 | 617, 275, 177, 315, 34 |
5 | 617, 275, 59, 105, 34 |
617, 55, 59, 21, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 617 x 55 x 59 x 21 x 34 = 85772748600
Therefore, the lowest common multiple of 617,275,708,630,136 is 85772748600.
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.
617 x 275 x 708 x 630 x 136 = 10292729832000
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.
617 : 1, 617
275 : 1, 5, 11, 25, 55, 275
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,275,708,630,136, is 1.
Now, the common factors can be found like this.
617:617
275:5x 5x 11
708:2x 2x 3x 59
630:2x 3x 3x 5x 7
136:2x 2x 2x 17
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 5 = 120
Therefore, the value for common factors is 120.
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 = 10292729832000/(1x120)
LCM = 10292729832000/120
LCM = 85772748600
Thus, we can understand that the LCM of 617,275,708,630,136 is 85772748600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 617, 275, 708, 630, 136?
Answer: LCM of 617, 275, 708, 630, 136 is 85772748600.
2. How to calculate the LCM of 617, 275, 708, 630, 136?
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 617, 275, 708, 630, 136.
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}.