Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/93, 49/67, 379/577 quickly i.e. 204281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/93, 49/67, 379/577 is 204281.
LCM(77/93, 49/67, 379/577) = 204281
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/93,49/67,379/577
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 77,49,379
Least Common Multiple of Numerators i.e. LCM of 77,49,379 is 204281.
GCF of Denominators means GCF of 93,67,577 as per the given fractions.
GCF of 93,67,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,49,379
7 | 77, 49, 379 |
11, 7, 379 |
∴ So the LCM of the given numbers is 7 x 11 x 7 x 379 = 204281
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 77,49,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,49,379) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(77,49,379) x common factors =1 x 7 = 7
LCM(77,49,379) = ( 77 × 49 × 379 ) / 7
LCM(77,49,379) = 1429967 / 7
LCM(77,49,379) = 204281
Lets's calculate GCF of 93,67,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204281/1
Therefore the LCM of Fractions 77/93,49/67,379/577 is 204281
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 93,67,577 . The biggest common factor number is the GCF number.
So the greatest common factor 93,67,577 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 77/93, 49/67, 379/577?
Answer: LCM of Numerators as per given numbers 77/93, 49/67, 379/577 is
LCM of Numerators i.e. for 77,49,379 is 204281
GCF of denominators i.e. for 93,67,577 is 1.
Thus, LCM of Fractions is 204281.Finally, LCM of Fractions for 77/93, 49/67, 379/577 is 204281.