Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/977, 19/254, 705/916 quickly i.e. 428640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/977, 19/254, 705/916 is 428640.
LCM(96/977, 19/254, 705/916) = 428640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/977,19/254,705/916
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 96,19,705
Least Common Multiple of Numerators i.e. LCM of 96,19,705 is 428640.
GCF of Denominators means GCF of 977,254,916 as per the given fractions.
GCF of 977,254,916 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,19,705
3 | 96, 19, 705 |
32, 19, 235 |
∴ So the LCM of the given numbers is 3 x 32 x 19 x 235 = 428640
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 96,19,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,19,705) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(96,19,705) x common factors =1 x 3 = 3
LCM(96,19,705) = ( 96 × 19 × 705 ) / 3
LCM(96,19,705) = 1285920 / 3
LCM(96,19,705) = 428640
Lets's calculate GCF of 977,254,916
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428640/1
Therefore the LCM of Fractions 96/977,19/254,705/916 is 428640
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 977,254,916 . The biggest common factor number is the GCF number.
So the greatest common factor 977,254,916 is 1.
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 96/977, 19/254, 705/916?
Answer: LCM of Numerators as per given numbers 96/977, 19/254, 705/916 is
LCM of Numerators i.e. for 96,19,705 is 428640
GCF of denominators i.e. for 977,254,916 is 1.
Thus, LCM of Fractions is 428640.Finally, LCM of Fractions for 96/977, 19/254, 705/916 is 428640.