Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/202, 76/581, 700/157 quickly i.e. 39900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/202, 76/581, 700/157 is 39900.
LCM(12/202, 76/581, 700/157) = 39900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/202,76/581,700/157
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 12,76,700
Least Common Multiple of Numerators i.e. LCM of 12,76,700 is 39900.
GCF of Denominators means GCF of 202,581,157 as per the given fractions.
GCF of 202,581,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,76,700
2 | 12, 76, 700 |
2 | 6, 38, 350 |
3, 19, 175 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 175 = 39900
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 12,76,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,76,700) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(12,76,700) x common factors =4 x 4 = 16
LCM(12,76,700) = ( 12 × 76 × 700 ) / 16
LCM(12,76,700) = 638400 / 16
LCM(12,76,700) = 39900
Lets's calculate GCF of 202,581,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39900/1
Therefore the LCM of Fractions 12/202,76/581,700/157 is 39900
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 202,581,157 . The biggest common factor number is the GCF number.
So the greatest common factor 202,581,157 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 12/202, 76/581, 700/157?
Answer: LCM of Numerators as per given numbers 12/202, 76/581, 700/157 is
LCM of Numerators i.e. for 12,76,700 is 39900
GCF of denominators i.e. for 202,581,157 is 1.
Thus, LCM of Fractions is 39900.Finally, LCM of Fractions for 12/202, 76/581, 700/157 is 39900.