Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/760, 47/366, 710/308 quickly i.e. 1618445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/760, 47/366, 710/308 is 1618445.
LCM(97/760, 47/366, 710/308) = 1618445
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/760,47/366,710/308
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 97,47,710
Least Common Multiple of Numerators i.e. LCM of 97,47,710 is 3236890.
GCF of Denominators means GCF of 760,366,308 as per the given fractions.
GCF of 760,366,308 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,47,710
Given numbers has no common factors except 1. So, there LCM is their product i.e 3236890
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 97,47,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,47,710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,47,710) x common factors =1 x 1 = 1
LCM(97,47,710) = ( 97 × 47 × 710 ) / 1
LCM(97,47,710) = 3236890 / 1
LCM(97,47,710) = 3236890
Lets's calculate GCF of 760,366,308
2 | 760, 366, 308 |
380, 183, 154 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3236890/2
Therefore the LCM of Fractions 97/760,47/366,710/308 is 1618445
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
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 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 760,366,308 . The biggest common factor number is the GCF number.
So the greatest common factor 760,366,308 is 2.
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 97/760, 47/366, 710/308?
Answer: LCM of Numerators as per given numbers 97/760, 47/366, 710/308 is
LCM of Numerators i.e. for 97,47,710 is 3236890
GCF of denominators i.e. for 760,366,308 is 2.
Thus, LCM of Fractions is 1618445.Finally, LCM of Fractions for 97/760, 47/366, 710/308 is 1618445.