Least Common Multiple of 543/264, 3310/7090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/264, 3310/7090 quickly i.e. 898665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/264, 3310/7090 is 898665.

LCM(543/264, 3310/7090) = 898665

LCM of 543/264, 3310/7090

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 543/264,3310/7090

Given numbers are 543/264,3310/7090

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 543,3310

Least Common Multiple of Numerators i.e. LCM of 543,3310 is 1797330.

GCF of Denominators means GCF of 264,7090 as per the given fractions.

GCF of 264,7090 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,3310

LCM of Fractions 543/264,3310/7090 is 898665

Given numbers has no common factors except 1. So, there LCM is their product i.e 1797330

Least Common Multiple of 543,3310 with GCF Formula

Least Common Multiple of 543,3310 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 543,3310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,3310) = 1

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

GCF(543,3310) x common factors =1 x 1 = 1

LCM(543,3310) = ( 543 × 3310 ) / 1

LCM(543,3310) = 1797330 / 1

LCM(543,3310) = 1797330


Lets's calculate GCF of 264,7090

2 264, 7090
132, 3545

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1797330/2

Therefore the LCM of Fractions 543/264,3310/7090 is 898665

Greatest Common Factor of 264,7090 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,7090 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors 264,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 264,7090 is 2.


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 543/264, 3310/7090

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 543/264, 3310/7090?

Answer: LCM of Numerators as per given numbers 543/264, 3310/7090 is

LCM of Numerators i.e. for 543,3310 is 1797330

GCF of denominators i.e. for 264,7090 is 2.

Thus, LCM of Fractions is 898665.Finally, LCM of Fractions for 543/264, 3310/7090 is 898665.