Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 176/277, 824/129, 226/770 quickly i.e. 2048464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 176/277, 824/129, 226/770 is 2048464.
LCM(176/277, 824/129, 226/770) = 2048464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 176/277,824/129,226/770
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 176,824,226
Least Common Multiple of Numerators i.e. LCM of 176,824,226 is 2048464.
GCF of Denominators means GCF of 277,129,770 as per the given fractions.
GCF of 277,129,770 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 176,824,226
2 | 176, 824, 226 |
2 | 88, 412, 113 |
2 | 44, 206, 113 |
22, 103, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 22 x 103 x 113 = 2048464
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 176,824,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,824,226) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(176,824,226) x common factors =2 x 8 = 16
LCM(176,824,226) = ( 176 × 824 × 226 ) / 16
LCM(176,824,226) = 32775424 / 16
LCM(176,824,226) = 2048464
Lets's calculate GCF of 277,129,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2048464/1
Therefore the LCM of Fractions 176/277,824/129,226/770 is 2048464
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 277,129,770 . The biggest common factor number is the GCF number.
So the greatest common factor 277,129,770 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 176/277, 824/129, 226/770?
Answer: LCM of Numerators as per given numbers 176/277, 824/129, 226/770 is
LCM of Numerators i.e. for 176,824,226 is 2048464
GCF of denominators i.e. for 277,129,770 is 1.
Thus, LCM of Fractions is 2048464.Finally, LCM of Fractions for 176/277, 824/129, 226/770 is 2048464.