Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/483, 621/941, 707/876 quickly i.e. 37318995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/483, 621/941, 707/876 is 37318995.
LCM(85/483, 621/941, 707/876) = 37318995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/483,621/941,707/876
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 85,621,707
Least Common Multiple of Numerators i.e. LCM of 85,621,707 is 37318995.
GCF of Denominators means GCF of 483,941,876 as per the given fractions.
GCF of 483,941,876 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,621,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 37318995
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 85,621,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,621,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,621,707) x common factors =1 x 1 = 1
LCM(85,621,707) = ( 85 × 621 × 707 ) / 1
LCM(85,621,707) = 37318995 / 1
LCM(85,621,707) = 37318995
Lets's calculate GCF of 483,941,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37318995/1
Therefore the LCM of Fractions 85/483,621/941,707/876 is 37318995
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
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
Greatest Common Factor
We found the factors 483,941,876 . The biggest common factor number is the GCF number.
So the greatest common factor 483,941,876 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 85/483, 621/941, 707/876?
Answer: LCM of Numerators as per given numbers 85/483, 621/941, 707/876 is
LCM of Numerators i.e. for 85,621,707 is 37318995
GCF of denominators i.e. for 483,941,876 is 1.
Thus, LCM of Fractions is 37318995.Finally, LCM of Fractions for 85/483, 621/941, 707/876 is 37318995.