Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 176/62, 508/27, 836/218 quickly i.e. 424688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 176/62, 508/27, 836/218 is 424688.
LCM(176/62, 508/27, 836/218) = 424688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 176/62,508/27,836/218
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 176,508,836
Least Common Multiple of Numerators i.e. LCM of 176,508,836 is 424688.
GCF of Denominators means GCF of 62,27,218 as per the given fractions.
GCF of 62,27,218 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 176,508,836
2 | 176, 508, 836 |
2 | 88, 254, 418 |
11 | 44, 127, 209 |
4, 127, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 4 x 127 x 19 = 424688
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 176,508,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,508,836) = 4
common factors(in case of two or more numbers have common factors) = 44
GCF(176,508,836) x common factors =4 x 44 = 176
LCM(176,508,836) = ( 176 × 508 × 836 ) / 176
LCM(176,508,836) = 74745088 / 176
LCM(176,508,836) = 424688
Lets's calculate GCF of 62,27,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424688/1
Therefore the LCM of Fractions 176/62,508/27,836/218 is 424688
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 62,27,218 . The biggest common factor number is the GCF number.
So the greatest common factor 62,27,218 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 176/62, 508/27, 836/218?
Answer: LCM of Numerators as per given numbers 176/62, 508/27, 836/218 is
LCM of Numerators i.e. for 176,508,836 is 424688
GCF of denominators i.e. for 62,27,218 is 1.
Thus, LCM of Fractions is 424688.Finally, LCM of Fractions for 176/62, 508/27, 836/218 is 424688.