Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/13, 72/802, 762/760 quickly i.e. 502920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/13, 72/802, 762/760 is 502920.
LCM(55/13, 72/802, 762/760) = 502920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/13,72/802,762/760
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 55,72,762
Least Common Multiple of Numerators i.e. LCM of 55,72,762 is 502920.
GCF of Denominators means GCF of 13,802,760 as per the given fractions.
GCF of 13,802,760 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,72,762
2 | 55, 72, 762 |
3 | 55, 36, 381 |
55, 12, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 55 x 12 x 127 = 502920
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 55,72,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,72,762) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(55,72,762) x common factors =1 x 6 = 6
LCM(55,72,762) = ( 55 × 72 × 762 ) / 6
LCM(55,72,762) = 3017520 / 6
LCM(55,72,762) = 502920
Lets's calculate GCF of 13,802,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502920/1
Therefore the LCM of Fractions 55/13,72/802,762/760 is 502920
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
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
Greatest Common Factor
We found the factors 13,802,760 . The biggest common factor number is the GCF number.
So the greatest common factor 13,802,760 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 55/13, 72/802, 762/760?
Answer: LCM of Numerators as per given numbers 55/13, 72/802, 762/760 is
LCM of Numerators i.e. for 55,72,762 is 502920
GCF of denominators i.e. for 13,802,760 is 1.
Thus, LCM of Fractions is 502920.Finally, LCM of Fractions for 55/13, 72/802, 762/760 is 502920.