Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/765, 619/254, 547/734 quickly i.e. 29796184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/765, 619/254, 547/734 is 29796184.
LCM(88/765, 619/254, 547/734) = 29796184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/765,619/254,547/734
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 88,619,547
Least Common Multiple of Numerators i.e. LCM of 88,619,547 is 29796184.
GCF of Denominators means GCF of 765,254,734 as per the given fractions.
GCF of 765,254,734 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,619,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 29796184
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 88,619,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,619,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,619,547) x common factors =1 x 1 = 1
LCM(88,619,547) = ( 88 × 619 × 547 ) / 1
LCM(88,619,547) = 29796184 / 1
LCM(88,619,547) = 29796184
Lets's calculate GCF of 765,254,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29796184/1
Therefore the LCM of Fractions 88/765,619/254,547/734 is 29796184
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 765,254,734 . The biggest common factor number is the GCF number.
So the greatest common factor 765,254,734 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 88/765, 619/254, 547/734?
Answer: LCM of Numerators as per given numbers 88/765, 619/254, 547/734 is
LCM of Numerators i.e. for 88,619,547 is 29796184
GCF of denominators i.e. for 765,254,734 is 1.
Thus, LCM of Fractions is 29796184.Finally, LCM of Fractions for 88/765, 619/254, 547/734 is 29796184.