Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/646, 599/852, 910/477 quickly i.e. 10356710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/646, 599/852, 910/477 is 10356710.
LCM(95/646, 599/852, 910/477) = 10356710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/646,599/852,910/477
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 95,599,910
Least Common Multiple of Numerators i.e. LCM of 95,599,910 is 10356710.
GCF of Denominators means GCF of 646,852,477 as per the given fractions.
GCF of 646,852,477 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,599,910
5 | 95, 599, 910 |
19, 599, 182 |
∴ So the LCM of the given numbers is 5 x 19 x 599 x 182 = 10356710
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 95,599,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,599,910) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,599,910) x common factors =1 x 5 = 5
LCM(95,599,910) = ( 95 × 599 × 910 ) / 5
LCM(95,599,910) = 51783550 / 5
LCM(95,599,910) = 10356710
Lets's calculate GCF of 646,852,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10356710/1
Therefore the LCM of Fractions 95/646,599/852,910/477 is 10356710
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 646,852,477 . The biggest common factor number is the GCF number.
So the greatest common factor 646,852,477 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 95/646, 599/852, 910/477?
Answer: LCM of Numerators as per given numbers 95/646, 599/852, 910/477 is
LCM of Numerators i.e. for 95,599,910 is 10356710
GCF of denominators i.e. for 646,852,477 is 1.
Thus, LCM of Fractions is 10356710.Finally, LCM of Fractions for 95/646, 599/852, 910/477 is 10356710.