LCM of 564, 370, 975, 117, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 370, 975, 117, 977 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 564, 370, 975, 117, 977. So, keep reading to learn more.
Given numbers are 564,370,975,117,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,370,975,117,977 is 19878335100.
Find LCM of 564,370,975,117,977 with Prime Factorization
| 2 | 564, 370, 975, 117, 977 |
| 3 | 282, 185, 975, 117, 977 |
| 5 | 94, 185, 325, 39, 977 |
| 13 | 94, 37, 65, 39, 977 |
| 94, 37, 5, 3, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 94 x 37 x 5 x 3 x 977 = 19878335100
Therefore, the lowest common multiple of 564,370,975,117,977 is 19878335100.
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.
564 x 370 x 975 x 117 x 977 = 23257652067000
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
370 : 1, 2, 5, 10, 37, 74, 185, 370
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
117 : 1, 3, 9, 13, 39, 117
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,370,975,117,977, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
370:2x 5x 37
975:3x 5x 5x 13
117:3x 3x 13
977:977
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 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 23257652067000/(1x1170)
LCM = 23257652067000/1170
LCM = 19878335100
Thus, we can understand that the LCM of 564,370,975,117,977 is 19878335100.
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FAQs on LCM of 564, 370, 975, 117, 977
1. What is the LCM of 564, 370, 975, 117, 977?
Answer: LCM of 564, 370, 975, 117, 977 is 19878335100.
2. How to calculate the LCM of 564, 370, 975, 117, 977?
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 564, 370, 975, 117, 977.
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}.