Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 542/662, 470/153, 177/141 quickly i.e. 22544490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 542/662, 470/153, 177/141 is 22544490.
LCM(542/662, 470/153, 177/141) = 22544490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 542/662,470/153,177/141
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 542,470,177
Least Common Multiple of Numerators i.e. LCM of 542,470,177 is 22544490.
GCF of Denominators means GCF of 662,153,141 as per the given fractions.
GCF of 662,153,141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 542,470,177
2 | 542, 470, 177 |
271, 235, 177 |
∴ So the LCM of the given numbers is 2 x 271 x 235 x 177 = 22544490
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 542,470,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,470,177) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(542,470,177) x common factors =1 x 2 = 2
LCM(542,470,177) = ( 542 × 470 × 177 ) / 2
LCM(542,470,177) = 45088980 / 2
LCM(542,470,177) = 22544490
Lets's calculate GCF of 662,153,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22544490/1
Therefore the LCM of Fractions 542/662,470/153,177/141 is 22544490
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 662,153,141 . The biggest common factor number is the GCF number.
So the greatest common factor 662,153,141 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 542/662, 470/153, 177/141?
Answer: LCM of Numerators as per given numbers 542/662, 470/153, 177/141 is
LCM of Numerators i.e. for 542,470,177 is 22544490
GCF of denominators i.e. for 662,153,141 is 1.
Thus, LCM of Fractions is 22544490.Finally, LCM of Fractions for 542/662, 470/153, 177/141 is 22544490.