Least Common Multiple of 439/34, 377/76, 546/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 439/34, 377/76, 546/475 quickly i.e. 6951126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 439/34, 377/76, 546/475 is 6951126.

LCM(439/34, 377/76, 546/475) = 6951126

LCM of 439/34, 377/76, 546/475

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 439/34,377/76,546/475

Given numbers are 439/34,377/76,546/475

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 439,377,546

Least Common Multiple of Numerators i.e. LCM of 439,377,546 is 6951126.

GCF of Denominators means GCF of 34,76,475 as per the given fractions.

GCF of 34,76,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 439,377,546

LCM of Fractions 439/34,377/76,546/475 is 6951126

13 439, 377, 546
439, 29, 42

∴ So the LCM of the given numbers is 13 x 439 x 29 x 42 = 6951126

Least Common Multiple of 439,377,546 with GCF Formula

Least Common Multiple of 439,377,546 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 439,377,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,377,546) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(439,377,546) x common factors =1 x 13 = 13

LCM(439,377,546) = ( 439 × 377 × 546 ) / 13

LCM(439,377,546) = 90364638 / 13

LCM(439,377,546) = 6951126


Lets's calculate GCF of 34,76,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6951126/1

Therefore the LCM of Fractions 439/34,377/76,546/475 is 6951126

Greatest Common Factor of 34,76,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,76,475 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 34,76,475 . The biggest common factor number is the GCF number.
So the greatest common factor 34,76,475 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 439/34, 377/76, 546/475

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 439/34, 377/76, 546/475?

Answer: LCM of Numerators as per given numbers 439/34, 377/76, 546/475 is

LCM of Numerators i.e. for 439,377,546 is 6951126

GCF of denominators i.e. for 34,76,475 is 1.

Thus, LCM of Fractions is 6951126.Finally, LCM of Fractions for 439/34, 377/76, 546/475 is 6951126.