Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 761/36, 695/16, 668/716 quickly i.e. 88325465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 761/36, 695/16, 668/716 is 88325465.
LCM(761/36, 695/16, 668/716) = 88325465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 761/36,695/16,668/716
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 761,695,668
Least Common Multiple of Numerators i.e. LCM of 761,695,668 is 353301860.
GCF of Denominators means GCF of 36,16,716 as per the given fractions.
GCF of 36,16,716 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 761,695,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 353301860
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 761,695,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,695,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,695,668) x common factors =1 x 1 = 1
LCM(761,695,668) = ( 761 × 695 × 668 ) / 1
LCM(761,695,668) = 353301860 / 1
LCM(761,695,668) = 353301860
Lets's calculate GCF of 36,16,716
2 | 36, 16, 716 |
2 | 18, 8, 358 |
9, 4, 179 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353301860/4
Therefore the LCM of Fractions 761/36,695/16,668/716 is 88325465
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 36,16,716 . The biggest common factor number is the GCF number.
So the greatest common factor 36,16,716 is 4.
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 761/36, 695/16, 668/716?
Answer: LCM of Numerators as per given numbers 761/36, 695/16, 668/716 is
LCM of Numerators i.e. for 761,695,668 is 353301860
GCF of denominators i.e. for 36,16,716 is 4.
Thus, LCM of Fractions is 88325465.Finally, LCM of Fractions for 761/36, 695/16, 668/716 is 88325465.