Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 375/278, 980/680 quickly i.e. 36750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 375/278, 980/680 is 36750.
LCM(375/278, 980/680) = 36750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 375/278,980/680
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 375,980
Least Common Multiple of Numerators i.e. LCM of 375,980 is 73500.
GCF of Denominators means GCF of 278,680 as per the given fractions.
GCF of 278,680 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 375,980
5 | 375, 980 |
75, 196 |
∴ So the LCM of the given numbers is 5 x 75 x 196 = 73500
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 375,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,980) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(375,980) x common factors =5 x 1 = 5
LCM(375,980) = ( 375 × 980 ) / 5
LCM(375,980) = 367500 / 5
LCM(375,980) = 73500
Lets's calculate GCF of 278,680
2 | 278, 680 |
139, 340 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73500/2
Therefore the LCM of Fractions 375/278,980/680 is 36750
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 278,680 . The biggest common factor number is the GCF number.
So the greatest common factor 278,680 is 2.
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 375/278, 980/680?
Answer: LCM of Numerators as per given numbers 375/278, 980/680 is
LCM of Numerators i.e. for 375,980 is 73500
GCF of denominators i.e. for 278,680 is 2.
Thus, LCM of Fractions is 36750.Finally, LCM of Fractions for 375/278, 980/680 is 36750.