Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 392/35, 577/80, 616/980 quickly i.e. 2488024/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 392/35, 577/80, 616/980 is 2488024/5.
LCM(392/35, 577/80, 616/980) = 2488024/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 392/35,577/80,616/980
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 392,577,616
Least Common Multiple of Numerators i.e. LCM of 392,577,616 is 2488024.
GCF of Denominators means GCF of 35,80,980 as per the given fractions.
GCF of 35,80,980 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 392,577,616
2 | 392, 577, 616 |
2 | 196, 577, 308 |
2 | 98, 577, 154 |
7 | 49, 577, 77 |
7, 577, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 7 x 577 x 11 = 2488024
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 392,577,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,577,616) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(392,577,616) x common factors =1 x 56 = 56
LCM(392,577,616) = ( 392 × 577 × 616 ) / 56
LCM(392,577,616) = 139329344 / 56
LCM(392,577,616) = 2488024
Lets's calculate GCF of 35,80,980
5 | 35, 80, 980 |
7, 16, 196 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2488024/5
Therefore the LCM of Fractions 392/35,577/80,616/980 is 2488024/5
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 35,80,980 . The biggest common factor number is the GCF number.
So the greatest common factor 35,80,980 is 5.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 392/35, 577/80, 616/980?
Answer: LCM of Numerators as per given numbers 392/35, 577/80, 616/980 is
LCM of Numerators i.e. for 392,577,616 is 2488024
GCF of denominators i.e. for 35,80,980 is 5.
Thus, LCM of Fractions is 2488024/5.Finally, LCM of Fractions for 392/35, 577/80, 616/980 is 2488024/5.