Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/41, 64/80, 56/31, 226/51 quickly i.e. 253120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/41, 64/80, 56/31, 226/51 is 253120.
LCM(70/41, 64/80, 56/31, 226/51) = 253120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/41,64/80,56/31,226/51
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 70,64,56,226
Least Common Multiple of Numerators i.e. LCM of 70,64,56,226 is 253120.
GCF of Denominators means GCF of 41,80,31,51 as per the given fractions.
GCF of 41,80,31,51 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,64,56,226
2 | 70, 64, 56, 226 |
2 | 35, 32, 28, 113 |
2 | 35, 16, 14, 113 |
7 | 35, 8, 7, 113 |
5, 8, 1, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 8 x 1 x 113 = 253120
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 70,64,56,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,64,56,226) = 2
common factors(in case of two or more numbers have common factors) = 112
GCF(70,64,56,226) x common factors =2 x 112 = 224
LCM(70,64,56,226) = ( 70 × 64 × 56 × 226 ) / 224
LCM(70,64,56,226) = 56698880 / 224
LCM(70,64,56,226) = 253120
Lets's calculate GCF of 41,80,31,51
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253120/1
Therefore the LCM of Fractions 70/41,64/80,56/31,226/51 is 253120
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Greatest Common Factor
We found the factors 41,80,31,51 . The biggest common factor number is the GCF number.
So the greatest common factor 41,80,31,51 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 70/41, 64/80, 56/31, 226/51?
Answer: LCM of Numerators as per given numbers 70/41, 64/80, 56/31, 226/51 is
LCM of Numerators i.e. for 70,64,56,226 is 253120
GCF of denominators i.e. for 41,80,31,51 is 1.
Thus, LCM of Fractions is 253120.Finally, LCM of Fractions for 70/41, 64/80, 56/31, 226/51 is 253120.