LCM of 655, 817, 390, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 817, 390, 630 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 655, 817, 390, 630. So, keep reading to learn more.
Given numbers are 655,817,390,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,817,390,630 is 876551130.
Find LCM of 655,817,390,630 with Prime Factorization
| 2 | 655, 817, 390, 630 |
| 3 | 655, 817, 195, 315 |
| 5 | 655, 817, 65, 105 |
| 131, 817, 13, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 131 x 817 x 13 x 21 = 876551130
Therefore, the lowest common multiple of 655,817,390,630 is 876551130.
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.
655 x 817 x 390 x 630 = 131482669500
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.
655 : 1, 5, 131, 655
817 : 1, 19, 43, 817
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,817,390,630, is 1.
Now, the common factors can be found like this.
655:5x 131
817:19x 43
390:2x 3x 5x 13
630:2x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 131482669500/(1x150)
LCM = 131482669500/150
LCM = 876551130
Thus, we can understand that the LCM of 655,817,390,630 is 876551130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 817, 390, 630
1. What is the LCM of 655, 817, 390, 630?
Answer: LCM of 655, 817, 390, 630 is 876551130.
2. How to calculate the LCM of 655, 817, 390, 630?
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 655, 817, 390, 630.
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}.