Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/731, 262/361, 130/836 quickly i.e. 187330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/731, 262/361, 130/836 is 187330.
LCM(55/731, 262/361, 130/836) = 187330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/731,262/361,130/836
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 55,262,130
Least Common Multiple of Numerators i.e. LCM of 55,262,130 is 187330.
GCF of Denominators means GCF of 731,361,836 as per the given fractions.
GCF of 731,361,836 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,262,130
2 | 55, 262, 130 |
5 | 55, 131, 65 |
11, 131, 13 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 131 x 13 = 187330
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 55,262,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,262,130) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(55,262,130) x common factors =1 x 10 = 10
LCM(55,262,130) = ( 55 × 262 × 130 ) / 10
LCM(55,262,130) = 1873300 / 10
LCM(55,262,130) = 187330
Lets's calculate GCF of 731,361,836
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187330/1
Therefore the LCM of Fractions 55/731,262/361,130/836 is 187330
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 731,361,836 . The biggest common factor number is the GCF number.
So the greatest common factor 731,361,836 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 55/731, 262/361, 130/836?
Answer: LCM of Numerators as per given numbers 55/731, 262/361, 130/836 is
LCM of Numerators i.e. for 55,262,130 is 187330
GCF of denominators i.e. for 731,361,836 is 1.
Thus, LCM of Fractions is 187330.Finally, LCM of Fractions for 55/731, 262/361, 130/836 is 187330.