LCM of 478, 938, 880, 630, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 938, 880, 630, 691 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 478, 938, 880, 630, 691. So, keep reading to learn more.
Given numbers are 478,938,880,630,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,938,880,630,691 is 613442657520.
Find LCM of 478,938,880,630,691 with Prime Factorization
| 2 | 478, 938, 880, 630, 691 |
| 5 | 239, 469, 440, 315, 691 |
| 7 | 239, 469, 88, 63, 691 |
| 239, 67, 88, 9, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 239 x 67 x 88 x 9 x 691 = 613442657520
Therefore, the lowest common multiple of 478,938,880,630,691 is 613442657520.
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.
478 x 938 x 880 x 630 x 691 = 171763944105600
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.
478 : 1, 2, 239, 478
938 : 1, 2, 7, 14, 67, 134, 469, 938
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,938,880,630,691, is 1.
Now, the common factors can be found like this.
478:2x 239
938:2x 7x 67
880:2x 2x 2x 2x 5x 11
630:2x 3x 3x 5x 7
691:691
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 171763944105600/(1x280)
LCM = 171763944105600/280
LCM = 613442657520
Thus, we can understand that the LCM of 478,938,880,630,691 is 613442657520.
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FAQs on LCM of 478, 938, 880, 630, 691
1. What is the LCM of 478, 938, 880, 630, 691?
Answer: LCM of 478, 938, 880, 630, 691 is 613442657520.
2. How to calculate the LCM of 478, 938, 880, 630, 691?
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 478, 938, 880, 630, 691.
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}.