Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 995/658, 2951/7618 quickly i.e. 2936245/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 995/658, 2951/7618 is 2936245/2.
LCM(995/658, 2951/7618) = 2936245/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 995/658,2951/7618
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 995,2951
Least Common Multiple of Numerators i.e. LCM of 995,2951 is 2936245.
GCF of Denominators means GCF of 658,7618 as per the given fractions.
GCF of 658,7618 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 995,2951
Given numbers has no common factors except 1. So, there LCM is their product i.e 2936245
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 995,2951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,2951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,2951) x common factors =1 x 1 = 1
LCM(995,2951) = ( 995 × 2951 ) / 1
LCM(995,2951) = 2936245 / 1
LCM(995,2951) = 2936245
Lets's calculate GCF of 658,7618
2 | 658, 7618 |
329, 3809 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2936245/2
Therefore the LCM of Fractions 995/658,2951/7618 is 2936245/2
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 7618
List of positive integer factors of 7618 that divides 7618 without a remainder.
1,2,13,26,293,586,3809,7618
Greatest Common Factor
We found the factors 658,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 658,7618 is 2.
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 995/658, 2951/7618?
Answer: LCM of Numerators as per given numbers 995/658, 2951/7618 is
LCM of Numerators i.e. for 995,2951 is 2936245
GCF of denominators i.e. for 658,7618 is 2.
Thus, LCM of Fractions is 2936245/2.Finally, LCM of Fractions for 995/658, 2951/7618 is 2936245/2.