LCM of 507, 272, 952, 597
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 272, 952, 597 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 507, 272, 952, 597. So, keep reading to learn more.
Given numbers are 507,272,952,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,272,952,597 is 192100272.
Find LCM of 507,272,952,597 with Prime Factorization
| 2 | 507, 272, 952, 597 |
| 2 | 507, 136, 476, 597 |
| 2 | 507, 68, 238, 597 |
| 3 | 507, 34, 119, 597 |
| 17 | 169, 34, 119, 199 |
| 169, 2, 7, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 169 x 2 x 7 x 199 = 192100272
Therefore, the lowest common multiple of 507,272,952,597 is 192100272.
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.
507 x 272 x 952 x 597 = 78376910976
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.
507 : 1, 3, 13, 39, 169, 507
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,272,952,597, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
272:2x 2x 2x 2x 17
952:2x 2x 2x 7x 17
597:3x 199
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 17 = 408
Therefore, the value for common factors is 408.
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 = 78376910976/(1x408)
LCM = 78376910976/408
LCM = 192100272
Thus, we can understand that the LCM of 507,272,952,597 is 192100272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 272, 952, 597
1. What is the LCM of 507, 272, 952, 597?
Answer: LCM of 507, 272, 952, 597 is 192100272.
2. How to calculate the LCM of 507, 272, 952, 597?
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 507, 272, 952, 597.
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}.