Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Least Common Multiple of 54/19, 49/32, 255/42

Know Least Common Multiple of fractions 54/19, 49/32, 255/42 quickly i.e. 224910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/19, 49/32, 255/42 is 224910.

LCM(54/19, 49/32, 255/42) = 224910

LCM of 54/19, 49/32, 255/42

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 54/19,49/32,255/42

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 54,49,255

Least Common Multiple of Numerators i.e. LCM of 54,49,255 is 224910.

GCF of Denominators means GCF of 19,32,42 as per the given fractions.

GCF of 19,32,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,49,255

Least Common Multiple (LCM) of 54,49,255 By Common Division

3 54, 49, 255
18, 49, 85

∴ So the LCM of the given numbers is 3 x 18 x 49 x 85 = 224910

Least Common Multiple of 54,49,255 with GCF Formula

Least Common Multiple of 54,49,255 with GCF Formula

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 54,49,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,49,255) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,49,255) x common factors =1 x 3 = 3

LCM(54,49,255) = ( 54 × 49 × 255 ) / 3

LCM(54,49,255) = 674730 / 3

LCM(54,49,255) = 224910


Lets's calculate GCF of 19,32,42

Greatest Common Factor (GCF) of 19,32,42 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224910/1

Therefore the LCM of Fractions 54/19,49/32,255/42 is 224910

Greatest Common Factor of 19,32,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,32,42 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 19,32,42 . The biggest common factor number is the GCF number.
So the greatest common factor 19,32,42 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/19, 49/32, 255/42

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 54/19, 49/32, 255/42?

Answer: LCM of Numerators as per given numbers 54/19, 49/32, 255/42 is

LCM of Numerators i.e. for 54,49,255 is 224910

GCF of denominators i.e. for 19,32,42 is 1.

Thus, LCM of Fractions is 224910.Finally, LCM of Fractions for 54/19, 49/32, 255/42 is 224910.