Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/608, 87/706, 636/130 quickly i.e. 894534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/608, 87/706, 636/130 is 894534.
LCM(97/608, 87/706, 636/130) = 894534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/608,87/706,636/130
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 97,87,636
Least Common Multiple of Numerators i.e. LCM of 97,87,636 is 1789068.
GCF of Denominators means GCF of 608,706,130 as per the given fractions.
GCF of 608,706,130 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,87,636
3 | 97, 87, 636 |
97, 29, 212 |
∴ So the LCM of the given numbers is 3 x 97 x 29 x 212 = 1789068
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 97,87,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,87,636) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,87,636) x common factors =1 x 3 = 3
LCM(97,87,636) = ( 97 × 87 × 636 ) / 3
LCM(97,87,636) = 5367204 / 3
LCM(97,87,636) = 1789068
Lets's calculate GCF of 608,706,130
2 | 608, 706, 130 |
304, 353, 65 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1789068/2
Therefore the LCM of Fractions 97/608,87/706,636/130 is 894534
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 608,706,130 . The biggest common factor number is the GCF number.
So the greatest common factor 608,706,130 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 97/608, 87/706, 636/130?
Answer: LCM of Numerators as per given numbers 97/608, 87/706, 636/130 is
LCM of Numerators i.e. for 97,87,636 is 1789068
GCF of denominators i.e. for 608,706,130 is 2.
Thus, LCM of Fractions is 894534.Finally, LCM of Fractions for 97/608, 87/706, 636/130 is 894534.