Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/986, 67/676, 710/248 quickly i.e. 142710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/986, 67/676, 710/248 is 142710.
LCM(60/986, 67/676, 710/248) = 142710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/986,67/676,710/248
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 60,67,710
Least Common Multiple of Numerators i.e. LCM of 60,67,710 is 285420.
GCF of Denominators means GCF of 986,676,248 as per the given fractions.
GCF of 986,676,248 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,67,710
2 | 60, 67, 710 |
5 | 30, 67, 355 |
6, 67, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 6 x 67 x 71 = 285420
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 60,67,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,67,710) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(60,67,710) x common factors =1 x 10 = 10
LCM(60,67,710) = ( 60 × 67 × 710 ) / 10
LCM(60,67,710) = 2854200 / 10
LCM(60,67,710) = 285420
Lets's calculate GCF of 986,676,248
2 | 986, 676, 248 |
493, 338, 124 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285420/2
Therefore the LCM of Fractions 60/986,67/676,710/248 is 142710
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 986,676,248 . The biggest common factor number is the GCF number.
So the greatest common factor 986,676,248 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 60/986, 67/676, 710/248?
Answer: LCM of Numerators as per given numbers 60/986, 67/676, 710/248 is
LCM of Numerators i.e. for 60,67,710 is 285420
GCF of denominators i.e. for 986,676,248 is 2.
Thus, LCM of Fractions is 142710.Finally, LCM of Fractions for 60/986, 67/676, 710/248 is 142710.