Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/96, 169/56, 701/700 quickly i.e. 9595989/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/96, 169/56, 701/700 is 9595989/4.
LCM(81/96, 169/56, 701/700) = 9595989/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/96,169/56,701/700
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 81,169,701
Least Common Multiple of Numerators i.e. LCM of 81,169,701 is 9595989.
GCF of Denominators means GCF of 96,56,700 as per the given fractions.
GCF of 96,56,700 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,169,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 9595989
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 81,169,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,169,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,169,701) x common factors =1 x 1 = 1
LCM(81,169,701) = ( 81 × 169 × 701 ) / 1
LCM(81,169,701) = 9595989 / 1
LCM(81,169,701) = 9595989
Lets's calculate GCF of 96,56,700
2 | 96, 56, 700 |
2 | 48, 28, 350 |
24, 14, 175 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9595989/4
Therefore the LCM of Fractions 81/96,169/56,701/700 is 9595989/4
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 96,56,700 . The biggest common factor number is the GCF number.
So the greatest common factor 96,56,700 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 81/96, 169/56, 701/700?
Answer: LCM of Numerators as per given numbers 81/96, 169/56, 701/700 is
LCM of Numerators i.e. for 81,169,701 is 9595989
GCF of denominators i.e. for 96,56,700 is 4.
Thus, LCM of Fractions is 9595989/4.Finally, LCM of Fractions for 81/96, 169/56, 701/700 is 9595989/4.