Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/370, 7653/3667 quickly i.e. 704076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/370, 7653/3667 is 704076.
LCM(92/370, 7653/3667) = 704076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/370,7653/3667
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 92,7653
Least Common Multiple of Numerators i.e. LCM of 92,7653 is 704076.
GCF of Denominators means GCF of 370,3667 as per the given fractions.
GCF of 370,3667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,7653
Given numbers has no common factors except 1. So, there LCM is their product i.e 704076
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 92,7653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,7653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,7653) x common factors =1 x 1 = 1
LCM(92,7653) = ( 92 × 7653 ) / 1
LCM(92,7653) = 704076 / 1
LCM(92,7653) = 704076
Lets's calculate GCF of 370,3667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704076/1
Therefore the LCM of Fractions 92/370,7653/3667 is 704076
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 3667
List of positive integer factors of 3667 that divides 3667 without a remainder.
1,19,193,3667
Greatest Common Factor
We found the factors 370,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 370,3667 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 92/370, 7653/3667?
Answer: LCM of Numerators as per given numbers 92/370, 7653/3667 is
LCM of Numerators i.e. for 92,7653 is 704076
GCF of denominators i.e. for 370,3667 is 1.
Thus, LCM of Fractions is 704076.Finally, LCM of Fractions for 92/370, 7653/3667 is 704076.