Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/652, 7618/176 quickly i.e. 849407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/652, 7618/176 is 849407.
LCM(892/652, 7618/176) = 849407
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/652,7618/176
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 892,7618
Least Common Multiple of Numerators i.e. LCM of 892,7618 is 3397628.
GCF of Denominators means GCF of 652,176 as per the given fractions.
GCF of 652,176 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,7618
2 | 892, 7618 |
446, 3809 |
∴ So the LCM of the given numbers is 2 x 446 x 3809 = 3397628
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 892,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,7618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,7618) x common factors =2 x 1 = 2
LCM(892,7618) = ( 892 × 7618 ) / 2
LCM(892,7618) = 6795256 / 2
LCM(892,7618) = 3397628
Lets's calculate GCF of 652,176
2 | 652, 176 |
2 | 326, 88 |
163, 44 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3397628/4
Therefore the LCM of Fractions 892/652,7618/176 is 849407
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 652,176 . The biggest common factor number is the GCF number.
So the greatest common factor 652,176 is 4.
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 892/652, 7618/176?
Answer: LCM of Numerators as per given numbers 892/652, 7618/176 is
LCM of Numerators i.e. for 892,7618 is 3397628
GCF of denominators i.e. for 652,176 is 4.
Thus, LCM of Fractions is 849407.Finally, LCM of Fractions for 892/652, 7618/176 is 849407.