Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/42, 29/98, 61/668 quickly i.e. 160979/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/42, 29/98, 61/668 is 160979/2.
LCM(91/42, 29/98, 61/668) = 160979/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/42,29/98,61/668
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 91,29,61
Least Common Multiple of Numerators i.e. LCM of 91,29,61 is 160979.
GCF of Denominators means GCF of 42,98,668 as per the given fractions.
GCF of 42,98,668 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,29,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 160979
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 91,29,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,29,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,29,61) x common factors =1 x 1 = 1
LCM(91,29,61) = ( 91 × 29 × 61 ) / 1
LCM(91,29,61) = 160979 / 1
LCM(91,29,61) = 160979
Lets's calculate GCF of 42,98,668
2 | 42, 98, 668 |
21, 49, 334 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160979/2
Therefore the LCM of Fractions 91/42,29/98,61/668 is 160979/2
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 42,98,668 . The biggest common factor number is the GCF number.
So the greatest common factor 42,98,668 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 91/42, 29/98, 61/668?
Answer: LCM of Numerators as per given numbers 91/42, 29/98, 61/668 is
LCM of Numerators i.e. for 91,29,61 is 160979
GCF of denominators i.e. for 42,98,668 is 2.
Thus, LCM of Fractions is 160979/2.Finally, LCM of Fractions for 91/42, 29/98, 61/668 is 160979/2.