LCM of 507, 564, 689, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 564, 689, 142 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, 564, 689, 142. So, keep reading to learn more.
Given numbers are 507,564,689,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,564,689,142 is 358674108.
Find LCM of 507,564,689,142 with Prime Factorization
| 2 | 507, 564, 689, 142 |
| 3 | 507, 282, 689, 71 |
| 13 | 169, 94, 689, 71 |
| 13, 94, 53, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 94 x 53 x 71 = 358674108
Therefore, the lowest common multiple of 507,564,689,142 is 358674108.
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 564 x 689 x 142 = 27976580424
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
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
689 : 1, 13, 53, 689
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,564,689,142, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
564:2x 2x 3x 47
689:13x 53
142:2x 71
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 13 = 78
Therefore, the value for common factors is 78.
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 = 27976580424/(1x78)
LCM = 27976580424/78
LCM = 358674108
Thus, we can understand that the LCM of 507,564,689,142 is 358674108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 564, 689, 142
1. What is the LCM of 507, 564, 689, 142?
Answer: LCM of 507, 564, 689, 142 is 358674108.
2. How to calculate the LCM of 507, 564, 689, 142?
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, 564, 689, 142.
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}.