Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/116, 621/628, 374/679 quickly i.e. 6038604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/116, 621/628, 374/679 is 6038604.
LCM(52/116, 621/628, 374/679) = 6038604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/116,621/628,374/679
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 52,621,374
Least Common Multiple of Numerators i.e. LCM of 52,621,374 is 6038604.
GCF of Denominators means GCF of 116,628,679 as per the given fractions.
GCF of 116,628,679 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,621,374
2 | 52, 621, 374 |
26, 621, 187 |
∴ So the LCM of the given numbers is 2 x 26 x 621 x 187 = 6038604
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 52,621,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,621,374) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,621,374) x common factors =1 x 2 = 2
LCM(52,621,374) = ( 52 × 621 × 374 ) / 2
LCM(52,621,374) = 12077208 / 2
LCM(52,621,374) = 6038604
Lets's calculate GCF of 116,628,679
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6038604/1
Therefore the LCM of Fractions 52/116,621/628,374/679 is 6038604
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Greatest Common Factor
We found the factors 116,628,679 . The biggest common factor number is the GCF number.
So the greatest common factor 116,628,679 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 52/116, 621/628, 374/679?
Answer: LCM of Numerators as per given numbers 52/116, 621/628, 374/679 is
LCM of Numerators i.e. for 52,621,374 is 6038604
GCF of denominators i.e. for 116,628,679 is 1.
Thus, LCM of Fractions is 6038604.Finally, LCM of Fractions for 52/116, 621/628, 374/679 is 6038604.