LCM of 711, 414, 613, 153, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 414, 613, 153, 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 711, 414, 613, 153, 630. So, keep reading to learn more.
Given numbers are 711,414,613,153,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,414,613,153,630 is 11929022910.
Find LCM of 711,414,613,153,630 with Prime Factorization
| 2 | 711, 414, 613, 153, 630 |
| 3 | 711, 207, 613, 153, 315 |
| 3 | 237, 69, 613, 51, 105 |
| 79, 23, 613, 17, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 79 x 23 x 613 x 17 x 35 = 11929022910
Therefore, the lowest common multiple of 711,414,613,153,630 is 11929022910.
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.
711 x 414 x 613 x 153 x 630 = 17392515402780
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.
711 : 1, 3, 9, 79, 237, 711
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
613 : 1, 613
153 : 1, 3, 9, 17, 51, 153
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 711,414,613,153,630, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
414:2x 3x 3x 23
613:613
153:3x 3x 17
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 3x 3x 3x 3x 3 = 1458
Therefore, the value for common factors is 1458.
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 = 17392515402780/(1x1458)
LCM = 17392515402780/1458
LCM = 11929022910
Thus, we can understand that the LCM of 711,414,613,153,630 is 11929022910.
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FAQs on LCM of 711, 414, 613, 153, 630
1. What is the LCM of 711, 414, 613, 153, 630?
Answer: LCM of 711, 414, 613, 153, 630 is 11929022910.
2. How to calculate the LCM of 711, 414, 613, 153, 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 711, 414, 613, 153, 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}.