Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/95, 174/87, 348/98 quickly i.e. 19488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/95, 174/87, 348/98 is 19488.
LCM(672/95, 174/87, 348/98) = 19488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/95,174/87,348/98
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 672,174,348
Least Common Multiple of Numerators i.e. LCM of 672,174,348 is 19488.
GCF of Denominators means GCF of 95,87,98 as per the given fractions.
GCF of 95,87,98 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,174,348
2 | 672, 174, 348 |
2 | 336, 87, 174 |
3 | 168, 87, 87 |
29 | 56, 29, 29 |
56, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 56 x 1 x 1 = 19488
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 672,174,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,174,348) = 6
common factors(in case of two or more numbers have common factors) = 348
GCF(672,174,348) x common factors =6 x 348 = 2088
LCM(672,174,348) = ( 672 × 174 × 348 ) / 2088
LCM(672,174,348) = 40690944 / 2088
LCM(672,174,348) = 19488
Lets's calculate GCF of 95,87,98
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19488/1
Therefore the LCM of Fractions 672/95,174/87,348/98 is 19488
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 95,87,98 . The biggest common factor number is the GCF number.
So the greatest common factor 95,87,98 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 672/95, 174/87, 348/98?
Answer: LCM of Numerators as per given numbers 672/95, 174/87, 348/98 is
LCM of Numerators i.e. for 672,174,348 is 19488
GCF of denominators i.e. for 95,87,98 is 1.
Thus, LCM of Fractions is 19488.Finally, LCM of Fractions for 672/95, 174/87, 348/98 is 19488.