Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 947/602, 352/692 quickly i.e. 166672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 947/602, 352/692 is 166672.
LCM(947/602, 352/692) = 166672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 947/602,352/692
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 947,352
Least Common Multiple of Numerators i.e. LCM of 947,352 is 333344.
GCF of Denominators means GCF of 602,692 as per the given fractions.
GCF of 602,692 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 947,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 333344
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 947,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,352) x common factors =1 x 1 = 1
LCM(947,352) = ( 947 × 352 ) / 1
LCM(947,352) = 333344 / 1
LCM(947,352) = 333344
Lets's calculate GCF of 602,692
2 | 602, 692 |
301, 346 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333344/2
Therefore the LCM of Fractions 947/602,352/692 is 166672
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 602,692 . The biggest common factor number is the GCF number.
So the greatest common factor 602,692 is 2.
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 947/602, 352/692?
Answer: LCM of Numerators as per given numbers 947/602, 352/692 is
LCM of Numerators i.e. for 947,352 is 333344
GCF of denominators i.e. for 602,692 is 2.
Thus, LCM of Fractions is 166672.Finally, LCM of Fractions for 947/602, 352/692 is 166672.