Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/340, 807/683, 271/974 quickly i.e. 19245336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/340, 807/683, 271/974 is 19245336.
LCM(88/340, 807/683, 271/974) = 19245336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/340,807/683,271/974
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 88,807,271
Least Common Multiple of Numerators i.e. LCM of 88,807,271 is 19245336.
GCF of Denominators means GCF of 340,683,974 as per the given fractions.
GCF of 340,683,974 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,807,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 19245336
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 88,807,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,807,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,807,271) x common factors =1 x 1 = 1
LCM(88,807,271) = ( 88 × 807 × 271 ) / 1
LCM(88,807,271) = 19245336 / 1
LCM(88,807,271) = 19245336
Lets's calculate GCF of 340,683,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19245336/1
Therefore the LCM of Fractions 88/340,807/683,271/974 is 19245336
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 340,683,974 . The biggest common factor number is the GCF number.
So the greatest common factor 340,683,974 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 88/340, 807/683, 271/974?
Answer: LCM of Numerators as per given numbers 88/340, 807/683, 271/974 is
LCM of Numerators i.e. for 88,807,271 is 19245336
GCF of denominators i.e. for 340,683,974 is 1.
Thus, LCM of Fractions is 19245336.Finally, LCM of Fractions for 88/340, 807/683, 271/974 is 19245336.