Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 907/491, 735/948 quickly i.e. 666645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 907/491, 735/948 is 666645.
LCM(907/491, 735/948) = 666645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 907/491,735/948
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 907,735
Least Common Multiple of Numerators i.e. LCM of 907,735 is 666645.
GCF of Denominators means GCF of 491,948 as per the given fractions.
GCF of 491,948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 907,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 666645
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 907,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,735) x common factors =1 x 1 = 1
LCM(907,735) = ( 907 × 735 ) / 1
LCM(907,735) = 666645 / 1
LCM(907,735) = 666645
Lets's calculate GCF of 491,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666645/1
Therefore the LCM of Fractions 907/491,735/948 is 666645
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 491,948 . The biggest common factor number is the GCF number.
So the greatest common factor 491,948 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 907/491, 735/948?
Answer: LCM of Numerators as per given numbers 907/491, 735/948 is
LCM of Numerators i.e. for 907,735 is 666645
GCF of denominators i.e. for 491,948 is 1.
Thus, LCM of Fractions is 666645.Finally, LCM of Fractions for 907/491, 735/948 is 666645.