Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4408/740, 7977/2179 quickly i.e. 35162616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4408/740, 7977/2179 is 35162616.
LCM(4408/740, 7977/2179) = 35162616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4408/740,7977/2179
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 4408,7977
Least Common Multiple of Numerators i.e. LCM of 4408,7977 is 35162616.
GCF of Denominators means GCF of 740,2179 as per the given fractions.
GCF of 740,2179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4408,7977
Given numbers has no common factors except 1. So, there LCM is their product i.e 35162616
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 4408,7977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4408,7977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4408,7977) x common factors =1 x 1 = 1
LCM(4408,7977) = ( 4408 × 7977 ) / 1
LCM(4408,7977) = 35162616 / 1
LCM(4408,7977) = 35162616
Lets's calculate GCF of 740,2179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35162616/1
Therefore the LCM of Fractions 4408/740,7977/2179 is 35162616
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 2179
List of positive integer factors of 2179 that divides 2179 without a remainder.
1,2179
Greatest Common Factor
We found the factors 740,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 740,2179 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 4408/740, 7977/2179?
Answer: LCM of Numerators as per given numbers 4408/740, 7977/2179 is
LCM of Numerators i.e. for 4408,7977 is 35162616
GCF of denominators i.e. for 740,2179 is 1.
Thus, LCM of Fractions is 35162616.Finally, LCM of Fractions for 4408/740, 7977/2179 is 35162616.