Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 146/86, 248/10, 237/340 quickly i.e. 2145324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 146/86, 248/10, 237/340 is 2145324.
LCM(146/86, 248/10, 237/340) = 2145324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 146/86,248/10,237/340
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 146,248,237
Least Common Multiple of Numerators i.e. LCM of 146,248,237 is 4290648.
GCF of Denominators means GCF of 86,10,340 as per the given fractions.
GCF of 86,10,340 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 146,248,237
2 | 146, 248, 237 |
73, 124, 237 |
∴ So the LCM of the given numbers is 2 x 73 x 124 x 237 = 4290648
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 146,248,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,248,237) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(146,248,237) x common factors =1 x 2 = 2
LCM(146,248,237) = ( 146 × 248 × 237 ) / 2
LCM(146,248,237) = 8581296 / 2
LCM(146,248,237) = 4290648
Lets's calculate GCF of 86,10,340
2 | 86, 10, 340 |
43, 5, 170 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4290648/2
Therefore the LCM of Fractions 146/86,248/10,237/340 is 2145324
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 86,10,340 . The biggest common factor number is the GCF number.
So the greatest common factor 86,10,340 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 146/86, 248/10, 237/340?
Answer: LCM of Numerators as per given numbers 146/86, 248/10, 237/340 is
LCM of Numerators i.e. for 146,248,237 is 4290648
GCF of denominators i.e. for 86,10,340 is 2.
Thus, LCM of Fractions is 2145324.Finally, LCM of Fractions for 146/86, 248/10, 237/340 is 2145324.