Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/894, 244/432, 541/654 quickly i.e. 7260220/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/894, 244/432, 541/654 is 7260220/6.
LCM(55/894, 244/432, 541/654) = 7260220/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/894,244/432,541/654
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 55,244,541
Least Common Multiple of Numerators i.e. LCM of 55,244,541 is 7260220.
GCF of Denominators means GCF of 894,432,654 as per the given fractions.
GCF of 894,432,654 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,244,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 7260220
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 55,244,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,244,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,244,541) x common factors =1 x 1 = 1
LCM(55,244,541) = ( 55 × 244 × 541 ) / 1
LCM(55,244,541) = 7260220 / 1
LCM(55,244,541) = 7260220
Lets's calculate GCF of 894,432,654
2 | 894, 432, 654 |
3 | 447, 216, 327 |
149, 72, 109 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7260220/6
Therefore the LCM of Fractions 55/894,244/432,541/654 is 7260220/6
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 894,432,654 . The biggest common factor number is the GCF number.
So the greatest common factor 894,432,654 is 6.
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 55/894, 244/432, 541/654?
Answer: LCM of Numerators as per given numbers 55/894, 244/432, 541/654 is
LCM of Numerators i.e. for 55,244,541 is 7260220
GCF of denominators i.e. for 894,432,654 is 6.
Thus, LCM of Fractions is 7260220/6.Finally, LCM of Fractions for 55/894, 244/432, 541/654 is 7260220/6.