Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/90, 95/92, 72/98, 70/775 quickly i.e. 143640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/90, 95/92, 72/98, 70/775 is 143640.
LCM(54/90, 95/92, 72/98, 70/775) = 143640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/90,95/92,72/98,70/775
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 54,95,72,70
Least Common Multiple of Numerators i.e. LCM of 54,95,72,70 is 143640.
GCF of Denominators means GCF of 90,92,98,775 as per the given fractions.
GCF of 90,92,98,775 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,95,72,70
2 | 54, 95, 72, 70 |
3 | 27, 95, 36, 35 |
3 | 9, 95, 12, 35 |
5 | 3, 95, 4, 35 |
3, 19, 4, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 19 x 4 x 7 = 143640
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 54,95,72,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,95,72,70) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(54,95,72,70) x common factors =1 x 180 = 180
LCM(54,95,72,70) = ( 54 × 95 × 72 × 70 ) / 180
LCM(54,95,72,70) = 25855200 / 180
LCM(54,95,72,70) = 143640
Lets's calculate GCF of 90,92,98,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143640/1
Therefore the LCM of Fractions 54/90,95/92,72/98,70/775 is 143640
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 90,92,98,775 . The biggest common factor number is the GCF number.
So the greatest common factor 90,92,98,775 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 54/90, 95/92, 72/98, 70/775?
Answer: LCM of Numerators as per given numbers 54/90, 95/92, 72/98, 70/775 is
LCM of Numerators i.e. for 54,95,72,70 is 143640
GCF of denominators i.e. for 90,92,98,775 is 1.
Thus, LCM of Fractions is 143640.Finally, LCM of Fractions for 54/90, 95/92, 72/98, 70/775 is 143640.