LCM of 851, 312, 564, 598, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 312, 564, 598, 327 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 851, 312, 564, 598, 327. So, keep reading to learn more.
Given numbers are 851,312,564,598,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,312,564,598,327 is 1360217976.
Find LCM of 851,312,564,598,327 with Prime Factorization
| 2 | 851, 312, 564, 598, 327 |
| 2 | 851, 156, 282, 299, 327 |
| 3 | 851, 78, 141, 299, 327 |
| 13 | 851, 26, 47, 299, 109 |
| 23 | 851, 2, 47, 23, 109 |
| 37, 2, 47, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 37 x 2 x 47 x 1 x 109 = 1360217976
Therefore, the lowest common multiple of 851,312,564,598,327 is 1360217976.
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.
851 x 312 x 564 x 598 x 327 = 29282772587328
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.
851 : 1, 23, 37, 851
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
598 : 1, 2, 13, 23, 26, 46, 299, 598
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,312,564,598,327, is 1.
Now, the common factors can be found like this.
851:23x 37
312:2x 2x 2x 3x 13
564:2x 2x 3x 47
598:2x 13x 23
327:3x 109
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 3x 13x 23 = 21528
Therefore, the value for common factors is 21528.
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 = 29282772587328/(1x21528)
LCM = 29282772587328/21528
LCM = 1360217976
Thus, we can understand that the LCM of 851,312,564,598,327 is 1360217976.
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FAQs on LCM of 851, 312, 564, 598, 327
1. What is the LCM of 851, 312, 564, 598, 327?
Answer: LCM of 851, 312, 564, 598, 327 is 1360217976.
2. How to calculate the LCM of 851, 312, 564, 598, 327?
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 851, 312, 564, 598, 327.
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}.