LCM of 959, 507, 117, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 507, 117, 444 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 959, 507, 117, 444. So, keep reading to learn more.
Given numbers are 959,507,117,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,507,117,444 is 215878572.
Find LCM of 959,507,117,444 with Prime Factorization
| 3 | 959, 507, 117, 444 |
| 13 | 959, 169, 39, 148 |
| 959, 13, 3, 148 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 959 x 13 x 3 x 148 = 215878572
Therefore, the lowest common multiple of 959,507,117,444 is 215878572.
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.
959 x 507 x 117 x 444 = 25257792924
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.
959 : 1, 7, 137, 959
507 : 1, 3, 13, 39, 169, 507
117 : 1, 3, 9, 13, 39, 117
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,507,117,444, is 1.
Now, the common factors can be found like this.
959:7x 137
507:3x 13x 13
117:3x 3x 13
444:2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 25257792924/(1x117)
LCM = 25257792924/117
LCM = 215878572
Thus, we can understand that the LCM of 959,507,117,444 is 215878572.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 959, 507, 117, 444
1. What is the LCM of 959, 507, 117, 444?
Answer: LCM of 959, 507, 117, 444 is 215878572.
2. How to calculate the LCM of 959, 507, 117, 444?
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 959, 507, 117, 444.
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}.