Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/852, 139/620, 416/435 quickly i.e. 4452448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/852, 139/620, 416/435 is 4452448.
LCM(77/852, 139/620, 416/435) = 4452448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/852,139/620,416/435
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 77,139,416
Least Common Multiple of Numerators i.e. LCM of 77,139,416 is 4452448.
GCF of Denominators means GCF of 852,620,435 as per the given fractions.
GCF of 852,620,435 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,139,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 4452448
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 77,139,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,139,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,139,416) x common factors =1 x 1 = 1
LCM(77,139,416) = ( 77 × 139 × 416 ) / 1
LCM(77,139,416) = 4452448 / 1
LCM(77,139,416) = 4452448
Lets's calculate GCF of 852,620,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4452448/1
Therefore the LCM of Fractions 77/852,139/620,416/435 is 4452448
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 852,620,435 . The biggest common factor number is the GCF number.
So the greatest common factor 852,620,435 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 77/852, 139/620, 416/435?
Answer: LCM of Numerators as per given numbers 77/852, 139/620, 416/435 is
LCM of Numerators i.e. for 77,139,416 is 4452448
GCF of denominators i.e. for 852,620,435 is 1.
Thus, LCM of Fractions is 4452448.Finally, LCM of Fractions for 77/852, 139/620, 416/435 is 4452448.