LCM of 434, 292, 313, 365, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 292, 313, 365, 618 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 434, 292, 313, 365, 618. So, keep reading to learn more.
Given numbers are 434,292,313,365,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,292,313,365,618 is 30641879940.
Find LCM of 434,292,313,365,618 with Prime Factorization
| 2 | 434, 292, 313, 365, 618 |
| 73 | 217, 146, 313, 365, 309 |
| 217, 2, 313, 5, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 217 x 2 x 313 x 5 x 309 = 30641879940
Therefore, the lowest common multiple of 434,292,313,365,618 is 30641879940.
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.
434 x 292 x 313 x 365 x 618 = 8947428942480
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
292 : 1, 2, 4, 73, 146, 292
313 : 1, 313
365 : 1, 5, 73, 365
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,292,313,365,618, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
292:2x 2x 73
313:313
365:5x 73
618:2x 3x 103
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 73 = 292
Therefore, the value for common factors is 292.
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 = 8947428942480/(1x292)
LCM = 8947428942480/292
LCM = 30641879940
Thus, we can understand that the LCM of 434,292,313,365,618 is 30641879940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 434, 292, 313, 365, 618
1. What is the LCM of 434, 292, 313, 365, 618?
Answer: LCM of 434, 292, 313, 365, 618 is 30641879940.
2. How to calculate the LCM of 434, 292, 313, 365, 618?
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 434, 292, 313, 365, 618.
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}.