LCM of 392, 314, 292, 442, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 314, 292, 442, 901 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 392, 314, 292, 442, 901. So, keep reading to learn more.
Given numbers are 392,314,292,442,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,314,292,442,901 is 52623135656.
Find LCM of 392,314,292,442,901 with Prime Factorization
| 2 | 392, 314, 292, 442, 901 |
| 2 | 196, 157, 146, 221, 901 |
| 17 | 98, 157, 73, 221, 901 |
| 98, 157, 73, 13, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 98 x 157 x 73 x 13 x 53 = 52623135656
Therefore, the lowest common multiple of 392,314,292,442,901 is 52623135656.
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.
392 x 314 x 292 x 442 x 901 = 14313492898432
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
314 : 1, 2, 157, 314
292 : 1, 2, 4, 73, 146, 292
442 : 1, 2, 13, 17, 26, 34, 221, 442
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,314,292,442,901, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
314:2x 157
292:2x 2x 73
442:2x 13x 17
901:17x 53
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 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 14313492898432/(1x272)
LCM = 14313492898432/272
LCM = 52623135656
Thus, we can understand that the LCM of 392,314,292,442,901 is 52623135656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 392, 314, 292, 442, 901
1. What is the LCM of 392, 314, 292, 442, 901?
Answer: LCM of 392, 314, 292, 442, 901 is 52623135656.
2. How to calculate the LCM of 392, 314, 292, 442, 901?
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 392, 314, 292, 442, 901.
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}.