Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/348, 32/137, 812/370 quickly i.e. 45472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/348, 32/137, 812/370 is 45472.
LCM(49/348, 32/137, 812/370) = 45472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/348,32/137,812/370
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 49,32,812
Least Common Multiple of Numerators i.e. LCM of 49,32,812 is 45472.
GCF of Denominators means GCF of 348,137,370 as per the given fractions.
GCF of 348,137,370 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,32,812
2 | 49, 32, 812 |
2 | 49, 16, 406 |
7 | 49, 8, 203 |
7, 8, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 8 x 29 = 45472
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 49,32,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,32,812) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(49,32,812) x common factors =1 x 28 = 28
LCM(49,32,812) = ( 49 × 32 × 812 ) / 28
LCM(49,32,812) = 1273216 / 28
LCM(49,32,812) = 45472
Lets's calculate GCF of 348,137,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45472/1
Therefore the LCM of Fractions 49/348,32/137,812/370 is 45472
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 348,137,370 . The biggest common factor number is the GCF number.
So the greatest common factor 348,137,370 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 49/348, 32/137, 812/370?
Answer: LCM of Numerators as per given numbers 49/348, 32/137, 812/370 is
LCM of Numerators i.e. for 49,32,812 is 45472
GCF of denominators i.e. for 348,137,370 is 1.
Thus, LCM of Fractions is 45472.Finally, LCM of Fractions for 49/348, 32/137, 812/370 is 45472.