LCM of 507, 765, 663, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 765, 663, 972 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, 765, 663, 972. So, keep reading to learn more.
Given numbers are 507,765,663,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,765,663,972 is 13962780.
Find LCM of 507,765,663,972 with Prime Factorization
| 3 | 507, 765, 663, 972 |
| 3 | 169, 255, 221, 324 |
| 13 | 169, 85, 221, 108 |
| 17 | 13, 85, 17, 108 |
| 13, 5, 1, 108 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 17 x 13 x 5 x 1 x 108 = 13962780
Therefore, the lowest common multiple of 507,765,663,972 is 13962780.
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 765 x 663 x 972 = 249947724780
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
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
663 : 1, 3, 13, 17, 39, 51, 221, 663
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,765,663,972, is 3.
Now, the common factors can be found like this.
507:3x 13x 13
765:3x 3x 5x 17
663:3x 13x 17
972:2x 2x 3x 3x 3x 3x 3
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 3x 13x 17 = 5967
Therefore, the value for common factors is 5967.
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 = 249947724780/(3x5967)
LCM = 249947724780/17901
LCM = 13962780
Thus, we can understand that the LCM of 507,765,663,972 is 13962780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 765, 663, 972
1. What is the LCM of 507, 765, 663, 972?
Answer: LCM of 507, 765, 663, 972 is 13962780.
2. How to calculate the LCM of 507, 765, 663, 972?
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, 765, 663, 972.
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}.