LCM of 551, 766, 894, 456, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 766, 894, 456, 310 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 551, 766, 894, 456, 310. So, keep reading to learn more.
Given numbers are 551,766,894,456,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,766,894,456,310 is 116971371240.
Find LCM of 551,766,894,456,310 with Prime Factorization
| 2 | 551, 766, 894, 456, 310 |
| 3 | 551, 383, 447, 228, 155 |
| 19 | 551, 383, 149, 76, 155 |
| 29, 383, 149, 4, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 29 x 383 x 149 x 4 x 155 = 116971371240
Therefore, the lowest common multiple of 551,766,894,456,310 is 116971371240.
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.
551 x 766 x 894 x 456 x 310 = 53338945285440
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.
551 : 1, 19, 29, 551
766 : 1, 2, 383, 766
894 : 1, 2, 3, 6, 149, 298, 447, 894
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,766,894,456,310, is 1.
Now, the common factors can be found like this.
551:19x 29
766:2x 383
894:2x 3x 149
456:2x 2x 2x 3x 19
310:2x 5x 31
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 19 = 456
Therefore, the value for common factors is 456.
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 = 53338945285440/(1x456)
LCM = 53338945285440/456
LCM = 116971371240
Thus, we can understand that the LCM of 551,766,894,456,310 is 116971371240.
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FAQs on LCM of 551, 766, 894, 456, 310
1. What is the LCM of 551, 766, 894, 456, 310?
Answer: LCM of 551, 766, 894, 456, 310 is 116971371240.
2. How to calculate the LCM of 551, 766, 894, 456, 310?
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 551, 766, 894, 456, 310.
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}.