Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/749, 22/820, 95/378 quickly i.e. 8360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/749, 22/820, 95/378 is 8360.
LCM(8/749, 22/820, 95/378) = 8360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/749,22/820,95/378
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 8,22,95
Least Common Multiple of Numerators i.e. LCM of 8,22,95 is 8360.
GCF of Denominators means GCF of 749,820,378 as per the given fractions.
GCF of 749,820,378 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,22,95
2 | 8, 22, 95 |
4, 11, 95 |
∴ So the LCM of the given numbers is 2 x 4 x 11 x 95 = 8360
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 8,22,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,22,95) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,22,95) x common factors =1 x 2 = 2
LCM(8,22,95) = ( 8 × 22 × 95 ) / 2
LCM(8,22,95) = 16720 / 2
LCM(8,22,95) = 8360
Lets's calculate GCF of 749,820,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8360/1
Therefore the LCM of Fractions 8/749,22/820,95/378 is 8360
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 749,820,378 . The biggest common factor number is the GCF number.
So the greatest common factor 749,820,378 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 8/749, 22/820, 95/378?
Answer: LCM of Numerators as per given numbers 8/749, 22/820, 95/378 is
LCM of Numerators i.e. for 8,22,95 is 8360
GCF of denominators i.e. for 749,820,378 is 1.
Thus, LCM of Fractions is 8360.Finally, LCM of Fractions for 8/749, 22/820, 95/378 is 8360.