Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 961/876, 702/949 quickly i.e. 674622/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 961/876, 702/949 is 674622/73.
LCM(961/876, 702/949) = 674622/73
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 961/876,702/949
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 961,702
Least Common Multiple of Numerators i.e. LCM of 961,702 is 674622.
GCF of Denominators means GCF of 876,949 as per the given fractions.
GCF of 876,949 is 73 as it is the largest common factor for these numbers.
Lets's calculate LCM of 961,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 674622
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 961,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,702) x common factors =1 x 1 = 1
LCM(961,702) = ( 961 × 702 ) / 1
LCM(961,702) = 674622 / 1
LCM(961,702) = 674622
Lets's calculate GCF of 876,949
73 | 876, 949 |
12, 13 |
∴ So the GCF of the given numbers is 73 = 73
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674622/73
Therefore the LCM of Fractions 961/876,702/949 is 674622/73
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 876,949 . The biggest common factor number is the GCF number.
So the greatest common factor 876,949 is 73.
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 961/876, 702/949?
Answer: LCM of Numerators as per given numbers 961/876, 702/949 is
LCM of Numerators i.e. for 961,702 is 674622
GCF of denominators i.e. for 876,949 is 73.
Thus, LCM of Fractions is 674622/73.Finally, LCM of Fractions for 961/876, 702/949 is 674622/73.