Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/74, 101/43, 402/94 quickly i.e. 25863474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/74, 101/43, 402/94 is 25863474.
LCM(637/74, 101/43, 402/94) = 25863474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/74,101/43,402/94
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 637,101,402
Least Common Multiple of Numerators i.e. LCM of 637,101,402 is 25863474.
GCF of Denominators means GCF of 74,43,94 as per the given fractions.
GCF of 74,43,94 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,101,402
Given numbers has no common factors except 1. So, there LCM is their product i.e 25863474
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 637,101,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,101,402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,101,402) x common factors =1 x 1 = 1
LCM(637,101,402) = ( 637 × 101 × 402 ) / 1
LCM(637,101,402) = 25863474 / 1
LCM(637,101,402) = 25863474
Lets's calculate GCF of 74,43,94
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25863474/1
Therefore the LCM of Fractions 637/74,101/43,402/94 is 25863474
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Greatest Common Factor
We found the factors 74,43,94 . The biggest common factor number is the GCF number.
So the greatest common factor 74,43,94 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 637/74, 101/43, 402/94?
Answer: LCM of Numerators as per given numbers 637/74, 101/43, 402/94 is
LCM of Numerators i.e. for 637,101,402 is 25863474
GCF of denominators i.e. for 74,43,94 is 1.
Thus, LCM of Fractions is 25863474.Finally, LCM of Fractions for 637/74, 101/43, 402/94 is 25863474.