Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 749/277, 294/352, 307/524 quickly i.e. 9657606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 749/277, 294/352, 307/524 is 9657606.
LCM(749/277, 294/352, 307/524) = 9657606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 749/277,294/352,307/524
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 749,294,307
Least Common Multiple of Numerators i.e. LCM of 749,294,307 is 9657606.
GCF of Denominators means GCF of 277,352,524 as per the given fractions.
GCF of 277,352,524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 749,294,307
7 | 749, 294, 307 |
107, 42, 307 |
∴ So the LCM of the given numbers is 7 x 107 x 42 x 307 = 9657606
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 749,294,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,294,307) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(749,294,307) x common factors =1 x 7 = 7
LCM(749,294,307) = ( 749 × 294 × 307 ) / 7
LCM(749,294,307) = 67603242 / 7
LCM(749,294,307) = 9657606
Lets's calculate GCF of 277,352,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9657606/1
Therefore the LCM of Fractions 749/277,294/352,307/524 is 9657606
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 277,352,524 . The biggest common factor number is the GCF number.
So the greatest common factor 277,352,524 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 749/277, 294/352, 307/524?
Answer: LCM of Numerators as per given numbers 749/277, 294/352, 307/524 is
LCM of Numerators i.e. for 749,294,307 is 9657606
GCF of denominators i.e. for 277,352,524 is 1.
Thus, LCM of Fractions is 9657606.Finally, LCM of Fractions for 749/277, 294/352, 307/524 is 9657606.