Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/35, 55/767, 88/912 quickly i.e. 1320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/35, 55/767, 88/912 is 1320.
LCM(3/35, 55/767, 88/912) = 1320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/35,55/767,88/912
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 3,55,88
Least Common Multiple of Numerators i.e. LCM of 3,55,88 is 1320.
GCF of Denominators means GCF of 35,767,912 as per the given fractions.
GCF of 35,767,912 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,55,88
11 | 3, 55, 88 |
3, 5, 8 |
∴ So the LCM of the given numbers is 11 x 3 x 5 x 8 = 1320
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 3,55,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,55,88) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(3,55,88) x common factors =1 x 11 = 11
LCM(3,55,88) = ( 3 × 55 × 88 ) / 11
LCM(3,55,88) = 14520 / 11
LCM(3,55,88) = 1320
Lets's calculate GCF of 35,767,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320/1
Therefore the LCM of Fractions 3/35,55/767,88/912 is 1320
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 35,767,912 . The biggest common factor number is the GCF number.
So the greatest common factor 35,767,912 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 3/35, 55/767, 88/912?
Answer: LCM of Numerators as per given numbers 3/35, 55/767, 88/912 is
LCM of Numerators i.e. for 3,55,88 is 1320
GCF of denominators i.e. for 35,767,912 is 1.
Thus, LCM of Fractions is 1320.Finally, LCM of Fractions for 3/35, 55/767, 88/912 is 1320.