Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/88, 160/72, 641/911 quickly i.e. 923040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/88, 160/72, 641/911 is 923040.
LCM(90/88, 160/72, 641/911) = 923040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/88,160/72,641/911
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 90,160,641
Least Common Multiple of Numerators i.e. LCM of 90,160,641 is 923040.
GCF of Denominators means GCF of 88,72,911 as per the given fractions.
GCF of 88,72,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,160,641
2 | 90, 160, 641 |
5 | 45, 80, 641 |
9, 16, 641 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 16 x 641 = 923040
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 90,160,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,160,641) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,160,641) x common factors =1 x 10 = 10
LCM(90,160,641) = ( 90 × 160 × 641 ) / 10
LCM(90,160,641) = 9230400 / 10
LCM(90,160,641) = 923040
Lets's calculate GCF of 88,72,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 923040/1
Therefore the LCM of Fractions 90/88,160/72,641/911 is 923040
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 88,72,911 . The biggest common factor number is the GCF number.
So the greatest common factor 88,72,911 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 90/88, 160/72, 641/911?
Answer: LCM of Numerators as per given numbers 90/88, 160/72, 641/911 is
LCM of Numerators i.e. for 90,160,641 is 923040
GCF of denominators i.e. for 88,72,911 is 1.
Thus, LCM of Fractions is 923040.Finally, LCM of Fractions for 90/88, 160/72, 641/911 is 923040.