Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/554, 492/853, 185/337 quickly i.e. 637140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/554, 492/853, 185/337 is 637140.
LCM(42/554, 492/853, 185/337) = 637140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/554,492/853,185/337
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 42,492,185
Least Common Multiple of Numerators i.e. LCM of 42,492,185 is 637140.
GCF of Denominators means GCF of 554,853,337 as per the given fractions.
GCF of 554,853,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,492,185
2 | 42, 492, 185 |
3 | 21, 246, 185 |
7, 82, 185 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 82 x 185 = 637140
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 42,492,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,492,185) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,492,185) x common factors =1 x 6 = 6
LCM(42,492,185) = ( 42 × 492 × 185 ) / 6
LCM(42,492,185) = 3822840 / 6
LCM(42,492,185) = 637140
Lets's calculate GCF of 554,853,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637140/1
Therefore the LCM of Fractions 42/554,492/853,185/337 is 637140
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 554,853,337 . The biggest common factor number is the GCF number.
So the greatest common factor 554,853,337 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 42/554, 492/853, 185/337?
Answer: LCM of Numerators as per given numbers 42/554, 492/853, 185/337 is
LCM of Numerators i.e. for 42,492,185 is 637140
GCF of denominators i.e. for 554,853,337 is 1.
Thus, LCM of Fractions is 637140.Finally, LCM of Fractions for 42/554, 492/853, 185/337 is 637140.