Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 714/94, 378/611 quickly i.e. 6426/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 714/94, 378/611 is 6426/47.
LCM(714/94, 378/611) = 6426/47
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 714/94,378/611
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 714,378
Least Common Multiple of Numerators i.e. LCM of 714,378 is 6426.
GCF of Denominators means GCF of 94,611 as per the given fractions.
GCF of 94,611 is 47 as it is the largest common factor for these numbers.
Lets's calculate LCM of 714,378
2 | 714, 378 |
3 | 357, 189 |
7 | 119, 63 |
17, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 9 = 6426
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 714,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,378) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(714,378) x common factors =42 x 1 = 42
LCM(714,378) = ( 714 × 378 ) / 42
LCM(714,378) = 269892 / 42
LCM(714,378) = 6426
Lets's calculate GCF of 94,611
47 | 94, 611 |
2, 13 |
∴ So the GCF of the given numbers is 47 = 47
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6426/47
Therefore the LCM of Fractions 714/94,378/611 is 6426/47
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 94,611 . The biggest common factor number is the GCF number.
So the greatest common factor 94,611 is 47.
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 714/94, 378/611?
Answer: LCM of Numerators as per given numbers 714/94, 378/611 is
LCM of Numerators i.e. for 714,378 is 6426
GCF of denominators i.e. for 94,611 is 47.
Thus, LCM of Fractions is 6426/47.Finally, LCM of Fractions for 714/94, 378/611 is 6426/47.