LCM of 428, 362, 724, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 362, 724, 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, 362, 724, 279. So, keep reading to learn more.
Given numbers are 428,362,724,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,362,724,279 is 21613572.
Find LCM of 428,362,724,279 with Prime Factorization
| 2 | 428, 362, 724, 279 |
| 2 | 214, 181, 362, 279 |
| 181 | 107, 181, 181, 279 |
| 107, 1, 1, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 107 x 1 x 1 x 279 = 21613572
Therefore, the lowest common multiple of 428,362,724,279 is 21613572.
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 362 x 724 x 279 = 31296452256
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
362 : 1, 2, 181, 362
724 : 1, 2, 4, 181, 362, 724
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 428,362,724,279, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
362:2x 181
724:2x 2x 181
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 2x 181 = 1448
Therefore, the value for common factors is 1448.
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 = 31296452256/(1x1448)
LCM = 31296452256/1448
LCM = 21613572
Thus, we can understand that the LCM of 428,362,724,279 is 21613572.
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FAQs on LCM of 428, 362, 724, 279
1. What is the LCM of 428, 362, 724, 279?
Answer: LCM of 428, 362, 724, 279 is 21613572.
2. How to calculate the LCM of 428, 362, 724, 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, 362, 724, 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}.