LCM of 972, 189, 278, 540, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 189, 278, 540, 959 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 972, 189, 278, 540, 959. So, keep reading to learn more.
Given numbers are 972,189,278,540,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,189,278,540,959 is 647842860.
Find LCM of 972,189,278,540,959 with Prime Factorization
| 2 | 972, 189, 278, 540, 959 |
| 2 | 486, 189, 139, 270, 959 |
| 3 | 243, 189, 139, 135, 959 |
| 3 | 81, 63, 139, 45, 959 |
| 3 | 27, 21, 139, 15, 959 |
| 7 | 9, 7, 139, 5, 959 |
| 9, 1, 139, 5, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 9 x 1 x 139 x 5 x 137 = 647842860
Therefore, the lowest common multiple of 972,189,278,540,959 is 647842860.
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.
972 x 189 x 278 x 540 x 959 = 26447536916640
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
189 : 1, 3, 7, 9, 21, 27, 63, 189
278 : 1, 2, 139, 278
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,189,278,540,959, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
189:3x 3x 3x 7
278:2x 139
540:2x 2x 3x 3x 3x 5
959:7x 137
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 3x 3x 3x 3x 7 = 40824
Therefore, the value for common factors is 40824.
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 = 26447536916640/(1x40824)
LCM = 26447536916640/40824
LCM = 647842860
Thus, we can understand that the LCM of 972,189,278,540,959 is 647842860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 189, 278, 540, 959
1. What is the LCM of 972, 189, 278, 540, 959?
Answer: LCM of 972, 189, 278, 540, 959 is 647842860.
2. How to calculate the LCM of 972, 189, 278, 540, 959?
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 972, 189, 278, 540, 959.
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}.