Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/742, 68/368, 967/851 quickly i.e. 5983796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/742, 68/368, 967/851 is 5983796.
LCM(91/742, 68/368, 967/851) = 5983796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/742,68/368,967/851
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 91,68,967
Least Common Multiple of Numerators i.e. LCM of 91,68,967 is 5983796.
GCF of Denominators means GCF of 742,368,851 as per the given fractions.
GCF of 742,368,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,68,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 5983796
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 91,68,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,68,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,68,967) x common factors =1 x 1 = 1
LCM(91,68,967) = ( 91 × 68 × 967 ) / 1
LCM(91,68,967) = 5983796 / 1
LCM(91,68,967) = 5983796
Lets's calculate GCF of 742,368,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5983796/1
Therefore the LCM of Fractions 91/742,68/368,967/851 is 5983796
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 742,368,851 . The biggest common factor number is the GCF number.
So the greatest common factor 742,368,851 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 91/742, 68/368, 967/851?
Answer: LCM of Numerators as per given numbers 91/742, 68/368, 967/851 is
LCM of Numerators i.e. for 91,68,967 is 5983796
GCF of denominators i.e. for 742,368,851 is 1.
Thus, LCM of Fractions is 5983796.Finally, LCM of Fractions for 91/742, 68/368, 967/851 is 5983796.