Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/78, 514/3488 quickly i.e. 98174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/78, 514/3488 is 98174.
LCM(764/78, 514/3488) = 98174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/78,514/3488
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 764,514
Least Common Multiple of Numerators i.e. LCM of 764,514 is 196348.
GCF of Denominators means GCF of 78,3488 as per the given fractions.
GCF of 78,3488 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,514
2 | 764, 514 |
382, 257 |
∴ So the LCM of the given numbers is 2 x 382 x 257 = 196348
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 764,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,514) x common factors =2 x 1 = 2
LCM(764,514) = ( 764 × 514 ) / 2
LCM(764,514) = 392696 / 2
LCM(764,514) = 196348
Lets's calculate GCF of 78,3488
2 | 78, 3488 |
39, 1744 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196348/2
Therefore the LCM of Fractions 764/78,514/3488 is 98174
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 3488
List of positive integer factors of 3488 that divides 3488 without a remainder.
1,2,4,8,16,32,109,218,436,872,1744,3488
Greatest Common Factor
We found the factors 78,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 78,3488 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 764/78, 514/3488?
Answer: LCM of Numerators as per given numbers 764/78, 514/3488 is
LCM of Numerators i.e. for 764,514 is 196348
GCF of denominators i.e. for 78,3488 is 2.
Thus, LCM of Fractions is 98174.Finally, LCM of Fractions for 764/78, 514/3488 is 98174.