Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7543/948, 1700/3423 quickly i.e. 12823100/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7543/948, 1700/3423 is 12823100/3.
LCM(7543/948, 1700/3423) = 12823100/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7543/948,1700/3423
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 7543,1700
Least Common Multiple of Numerators i.e. LCM of 7543,1700 is 12823100.
GCF of Denominators means GCF of 948,3423 as per the given fractions.
GCF of 948,3423 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7543,1700
Given numbers has no common factors except 1. So, there LCM is their product i.e 12823100
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 7543,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7543,1700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7543,1700) x common factors =1 x 1 = 1
LCM(7543,1700) = ( 7543 × 1700 ) / 1
LCM(7543,1700) = 12823100 / 1
LCM(7543,1700) = 12823100
Lets's calculate GCF of 948,3423
3 | 948, 3423 |
316, 1141 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12823100/3
Therefore the LCM of Fractions 7543/948,1700/3423 is 12823100/3
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 3423
List of positive integer factors of 3423 that divides 3423 without a remainder.
1,3,7,21,163,489,1141,3423
Greatest Common Factor
We found the factors 948,3423 . The biggest common factor number is the GCF number.
So the greatest common factor 948,3423 is 3.
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 7543/948, 1700/3423?
Answer: LCM of Numerators as per given numbers 7543/948, 1700/3423 is
LCM of Numerators i.e. for 7543,1700 is 12823100
GCF of denominators i.e. for 948,3423 is 3.
Thus, LCM of Fractions is 12823100/3.Finally, LCM of Fractions for 7543/948, 1700/3423 is 12823100/3.