Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/680, 753/180, 921/341 quickly i.e. 21730074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/680, 753/180, 921/341 is 21730074.
LCM(94/680, 753/180, 921/341) = 21730074
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/680,753/180,921/341
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 94,753,921
Least Common Multiple of Numerators i.e. LCM of 94,753,921 is 21730074.
GCF of Denominators means GCF of 680,180,341 as per the given fractions.
GCF of 680,180,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,753,921
3 | 94, 753, 921 |
94, 251, 307 |
∴ So the LCM of the given numbers is 3 x 94 x 251 x 307 = 21730074
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 94,753,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,753,921) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(94,753,921) x common factors =1 x 3 = 3
LCM(94,753,921) = ( 94 × 753 × 921 ) / 3
LCM(94,753,921) = 65190222 / 3
LCM(94,753,921) = 21730074
Lets's calculate GCF of 680,180,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21730074/1
Therefore the LCM of Fractions 94/680,753/180,921/341 is 21730074
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 680,180,341 . The biggest common factor number is the GCF number.
So the greatest common factor 680,180,341 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 94/680, 753/180, 921/341?
Answer: LCM of Numerators as per given numbers 94/680, 753/180, 921/341 is
LCM of Numerators i.e. for 94,753,921 is 21730074
GCF of denominators i.e. for 680,180,341 is 1.
Thus, LCM of Fractions is 21730074.Finally, LCM of Fractions for 94/680, 753/180, 921/341 is 21730074.