Least Common Multiple of 546/43, 3430/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/43, 3430/801 quickly i.e. 133770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/43, 3430/801 is 133770.

LCM(546/43, 3430/801) = 133770

LCM of 546/43, 3430/801

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 546/43,3430/801

Given numbers are 546/43,3430/801

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 546,3430

Least Common Multiple of Numerators i.e. LCM of 546,3430 is 133770.

GCF of Denominators means GCF of 43,801 as per the given fractions.

GCF of 43,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,3430

LCM of Fractions 546/43,3430/801 is 133770

2 546, 3430
7 273, 1715
39, 245

∴ So the LCM of the given numbers is 2 x 7 x 39 x 245 = 133770

Least Common Multiple of 546,3430 with GCF Formula

Least Common Multiple of 546,3430 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 546,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,3430) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(546,3430) x common factors =14 x 1 = 14

LCM(546,3430) = ( 546 × 3430 ) / 14

LCM(546,3430) = 1872780 / 14

LCM(546,3430) = 133770


Lets's calculate GCF of 43,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133770/1

Therefore the LCM of Fractions 546/43,3430/801 is 133770

Greatest Common Factor of 43,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,801 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 43,801 . The biggest common factor number is the GCF number.
So the greatest common factor 43,801 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 546/43, 3430/801

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 546/43, 3430/801?

Answer: LCM of Numerators as per given numbers 546/43, 3430/801 is

LCM of Numerators i.e. for 546,3430 is 133770

GCF of denominators i.e. for 43,801 is 1.

Thus, LCM of Fractions is 133770.Finally, LCM of Fractions for 546/43, 3430/801 is 133770.