Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/76, 91/93, 70/276 quickly i.e. 79170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/76, 91/93, 70/276 is 79170.
LCM(87/76, 91/93, 70/276) = 79170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/76,91/93,70/276
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 87,91,70
Least Common Multiple of Numerators i.e. LCM of 87,91,70 is 79170.
GCF of Denominators means GCF of 76,93,276 as per the given fractions.
GCF of 76,93,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,91,70
7 | 87, 91, 70 |
87, 13, 10 |
∴ So the LCM of the given numbers is 7 x 87 x 13 x 10 = 79170
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 87,91,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,91,70) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(87,91,70) x common factors =1 x 7 = 7
LCM(87,91,70) = ( 87 × 91 × 70 ) / 7
LCM(87,91,70) = 554190 / 7
LCM(87,91,70) = 79170
Lets's calculate GCF of 76,93,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79170/1
Therefore the LCM of Fractions 87/76,91/93,70/276 is 79170
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 76,93,276 . The biggest common factor number is the GCF number.
So the greatest common factor 76,93,276 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 87/76, 91/93, 70/276?
Answer: LCM of Numerators as per given numbers 87/76, 91/93, 70/276 is
LCM of Numerators i.e. for 87,91,70 is 79170
GCF of denominators i.e. for 76,93,276 is 1.
Thus, LCM of Fractions is 79170.Finally, LCM of Fractions for 87/76, 91/93, 70/276 is 79170.