Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/84, 45/67, 21/31, 82/946 quickly i.e. 2040570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/84, 45/67, 21/31, 82/946 is 2040570.
LCM(79/84, 45/67, 21/31, 82/946) = 2040570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/84,45/67,21/31,82/946
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 79,45,21,82
Least Common Multiple of Numerators i.e. LCM of 79,45,21,82 is 2040570.
GCF of Denominators means GCF of 84,67,31,946 as per the given fractions.
GCF of 84,67,31,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,45,21,82
3 | 79, 45, 21, 82 |
79, 15, 7, 82 |
∴ So the LCM of the given numbers is 3 x 79 x 15 x 7 x 82 = 2040570
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 79,45,21,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,45,21,82) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(79,45,21,82) x common factors =1 x 3 = 3
LCM(79,45,21,82) = ( 79 × 45 × 21 × 82 ) / 3
LCM(79,45,21,82) = 6121710 / 3
LCM(79,45,21,82) = 2040570
Lets's calculate GCF of 84,67,31,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2040570/1
Therefore the LCM of Fractions 79/84,45/67,21/31,82/946 is 2040570
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 84,67,31,946 . The biggest common factor number is the GCF number.
So the greatest common factor 84,67,31,946 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 79/84, 45/67, 21/31, 82/946?
Answer: LCM of Numerators as per given numbers 79/84, 45/67, 21/31, 82/946 is
LCM of Numerators i.e. for 79,45,21,82 is 2040570
GCF of denominators i.e. for 84,67,31,946 is 1.
Thus, LCM of Fractions is 2040570.Finally, LCM of Fractions for 79/84, 45/67, 21/31, 82/946 is 2040570.