LCM of 922, 564, 110, 506, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 564, 110, 506, 876 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 922, 564, 110, 506, 876. So, keep reading to learn more.
Given numbers are 922,564,110,506,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,564,110,506,876 is 24010069380.
Find LCM of 922,564,110,506,876 with Prime Factorization
| 2 | 922, 564, 110, 506, 876 |
| 2 | 461, 282, 55, 253, 438 |
| 3 | 461, 141, 55, 253, 219 |
| 11 | 461, 47, 55, 253, 73 |
| 461, 47, 5, 23, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 461 x 47 x 5 x 23 x 73 = 24010069380
Therefore, the lowest common multiple of 922,564,110,506,876 is 24010069380.
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.
922 x 564 x 110 x 506 x 876 = 25354633265280
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.
922 : 1, 2, 461, 922
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
110 : 1, 2, 5, 10, 11, 22, 55, 110
506 : 1, 2, 11, 22, 23, 46, 253, 506
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,564,110,506,876, is 2.
Now, the common factors can be found like this.
922:2x 461
564:2x 2x 3x 47
110:2x 5x 11
506:2x 11x 23
876:2x 2x 3x 73
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 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 25354633265280/(2x528)
LCM = 25354633265280/1056
LCM = 24010069380
Thus, we can understand that the LCM of 922,564,110,506,876 is 24010069380.
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FAQs on LCM of 922, 564, 110, 506, 876
1. What is the LCM of 922, 564, 110, 506, 876?
Answer: LCM of 922, 564, 110, 506, 876 is 24010069380.
2. How to calculate the LCM of 922, 564, 110, 506, 876?
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 922, 564, 110, 506, 876.
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}.