Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/76, 652/34, 587/88 quickly i.e. 131082970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/76, 652/34, 587/88 is 131082970.
LCM(685/76, 652/34, 587/88) = 131082970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/76,652/34,587/88
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 685,652,587
Least Common Multiple of Numerators i.e. LCM of 685,652,587 is 262165940.
GCF of Denominators means GCF of 76,34,88 as per the given fractions.
GCF of 76,34,88 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,652,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 262165940
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 685,652,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,652,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,652,587) x common factors =1 x 1 = 1
LCM(685,652,587) = ( 685 × 652 × 587 ) / 1
LCM(685,652,587) = 262165940 / 1
LCM(685,652,587) = 262165940
Lets's calculate GCF of 76,34,88
2 | 76, 34, 88 |
38, 17, 44 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262165940/2
Therefore the LCM of Fractions 685/76,652/34,587/88 is 131082970
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Greatest Common Factor
We found the factors 76,34,88 . The biggest common factor number is the GCF number.
So the greatest common factor 76,34,88 is 2.
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 685/76, 652/34, 587/88?
Answer: LCM of Numerators as per given numbers 685/76, 652/34, 587/88 is
LCM of Numerators i.e. for 685,652,587 is 262165940
GCF of denominators i.e. for 76,34,88 is 2.
Thus, LCM of Fractions is 131082970.Finally, LCM of Fractions for 685/76, 652/34, 587/88 is 131082970.