LCM of 428, 312, 735, 689, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 312, 735, 689, 279 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 428, 312, 735, 689, 279. So, keep reading to learn more.
Given numbers are 428,312,735,689,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,312,735,689,279 is 40314685320.
Find LCM of 428,312,735,689,279 with Prime Factorization
| 2 | 428, 312, 735, 689, 279 |
| 2 | 214, 156, 735, 689, 279 |
| 3 | 107, 78, 735, 689, 279 |
| 13 | 107, 26, 245, 689, 93 |
| 107, 2, 245, 53, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 107 x 2 x 245 x 53 x 93 = 40314685320
Therefore, the lowest common multiple of 428,312,735,689,279 is 40314685320.
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.
428 x 312 x 735 x 689 x 279 = 18867272729760
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.
428 : 1, 2, 4, 107, 214, 428
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
689 : 1, 13, 53, 689
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,312,735,689,279, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
312:2x 2x 2x 3x 13
735:3x 5x 7x 7
689:13x 53
279:3x 3x 31
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 18867272729760/(1x468)
LCM = 18867272729760/468
LCM = 40314685320
Thus, we can understand that the LCM of 428,312,735,689,279 is 40314685320.
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FAQs on LCM of 428, 312, 735, 689, 279
1. What is the LCM of 428, 312, 735, 689, 279?
Answer: LCM of 428, 312, 735, 689, 279 is 40314685320.
2. How to calculate the LCM of 428, 312, 735, 689, 279?
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 428, 312, 735, 689, 279.
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}.