Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/708, 657/947, 245/219 quickly i.e. 6921495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/708, 657/947, 245/219 is 6921495.
LCM(43/708, 657/947, 245/219) = 6921495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/708,657/947,245/219
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 43,657,245
Least Common Multiple of Numerators i.e. LCM of 43,657,245 is 6921495.
GCF of Denominators means GCF of 708,947,219 as per the given fractions.
GCF of 708,947,219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,657,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 6921495
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 43,657,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,657,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,657,245) x common factors =1 x 1 = 1
LCM(43,657,245) = ( 43 × 657 × 245 ) / 1
LCM(43,657,245) = 6921495 / 1
LCM(43,657,245) = 6921495
Lets's calculate GCF of 708,947,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6921495/1
Therefore the LCM of Fractions 43/708,657/947,245/219 is 6921495
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 708,947,219 . The biggest common factor number is the GCF number.
So the greatest common factor 708,947,219 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 43/708, 657/947, 245/219?
Answer: LCM of Numerators as per given numbers 43/708, 657/947, 245/219 is
LCM of Numerators i.e. for 43,657,245 is 6921495
GCF of denominators i.e. for 708,947,219 is 1.
Thus, LCM of Fractions is 6921495.Finally, LCM of Fractions for 43/708, 657/947, 245/219 is 6921495.