Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 739/366, 966/681, 188/577 quickly i.e. 67104156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 739/366, 966/681, 188/577 is 67104156.
LCM(739/366, 966/681, 188/577) = 67104156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 739/366,966/681,188/577
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 739,966,188
Least Common Multiple of Numerators i.e. LCM of 739,966,188 is 67104156.
GCF of Denominators means GCF of 366,681,577 as per the given fractions.
GCF of 366,681,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 739,966,188
2 | 739, 966, 188 |
739, 483, 94 |
∴ So the LCM of the given numbers is 2 x 739 x 483 x 94 = 67104156
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 739,966,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,966,188) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(739,966,188) x common factors =1 x 2 = 2
LCM(739,966,188) = ( 739 × 966 × 188 ) / 2
LCM(739,966,188) = 134208312 / 2
LCM(739,966,188) = 67104156
Lets's calculate GCF of 366,681,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67104156/1
Therefore the LCM of Fractions 739/366,966/681,188/577 is 67104156
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 366,681,577 . The biggest common factor number is the GCF number.
So the greatest common factor 366,681,577 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 739/366, 966/681, 188/577?
Answer: LCM of Numerators as per given numbers 739/366, 966/681, 188/577 is
LCM of Numerators i.e. for 739,966,188 is 67104156
GCF of denominators i.e. for 366,681,577 is 1.
Thus, LCM of Fractions is 67104156.Finally, LCM of Fractions for 739/366, 966/681, 188/577 is 67104156.