Least Common Multiple of 319/55, 342/13, 778/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/55, 342/13, 778/558 quickly i.e. 42439122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/55, 342/13, 778/558 is 42439122.

LCM(319/55, 342/13, 778/558) = 42439122

LCM of 319/55, 342/13, 778/558

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 319/55,342/13,778/558

Given numbers are 319/55,342/13,778/558

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 319,342,778

Least Common Multiple of Numerators i.e. LCM of 319,342,778 is 42439122.

GCF of Denominators means GCF of 55,13,558 as per the given fractions.

GCF of 55,13,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,342,778

LCM of Fractions 319/55,342/13,778/558 is 42439122

2 319, 342, 778
319, 171, 389

∴ So the LCM of the given numbers is 2 x 319 x 171 x 389 = 42439122

Least Common Multiple of 319,342,778 with GCF Formula

Least Common Multiple of 319,342,778 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 319,342,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,342,778) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(319,342,778) x common factors =1 x 2 = 2

LCM(319,342,778) = ( 319 × 342 × 778 ) / 2

LCM(319,342,778) = 84878244 / 2

LCM(319,342,778) = 42439122


Lets's calculate GCF of 55,13,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42439122/1

Therefore the LCM of Fractions 319/55,342/13,778/558 is 42439122

Greatest Common Factor of 55,13,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,13,558 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 55,13,558 . The biggest common factor number is the GCF number.
So the greatest common factor 55,13,558 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 319/55, 342/13, 778/558

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 319/55, 342/13, 778/558?

Answer: LCM of Numerators as per given numbers 319/55, 342/13, 778/558 is

LCM of Numerators i.e. for 319,342,778 is 42439122

GCF of denominators i.e. for 55,13,558 is 1.

Thus, LCM of Fractions is 42439122.Finally, LCM of Fractions for 319/55, 342/13, 778/558 is 42439122.