Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 602/11, 780/7414 quickly i.e. 234780/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 602/11, 780/7414 is 234780/11.
LCM(602/11, 780/7414) = 234780/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 602/11,780/7414
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 602,780
Least Common Multiple of Numerators i.e. LCM of 602,780 is 234780.
GCF of Denominators means GCF of 11,7414 as per the given fractions.
GCF of 11,7414 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 602,780
2 | 602, 780 |
301, 390 |
∴ So the LCM of the given numbers is 2 x 301 x 390 = 234780
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 602,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,780) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,780) x common factors =2 x 1 = 2
LCM(602,780) = ( 602 × 780 ) / 2
LCM(602,780) = 469560 / 2
LCM(602,780) = 234780
Lets's calculate GCF of 11,7414
11 | 11, 7414 |
1, 674 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234780/11
Therefore the LCM of Fractions 602/11,780/7414 is 234780/11
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 7414
List of positive integer factors of 7414 that divides 7414 without a remainder.
1,2,11,22,337,674,3707,7414
Greatest Common Factor
We found the factors 11,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 11,7414 is 11.
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 602/11, 780/7414?
Answer: LCM of Numerators as per given numbers 602/11, 780/7414 is
LCM of Numerators i.e. for 602,780 is 234780
GCF of denominators i.e. for 11,7414 is 11.
Thus, LCM of Fractions is 234780/11.Finally, LCM of Fractions for 602/11, 780/7414 is 234780/11.