Least Common Multiple of 711/34, 180/6764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/34, 180/6764 quickly i.e. 7110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/34, 180/6764 is 7110.

LCM(711/34, 180/6764) = 7110

LCM of 711/34, 180/6764

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 711/34,180/6764

Given numbers are 711/34,180/6764

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 711,180

Least Common Multiple of Numerators i.e. LCM of 711,180 is 14220.

GCF of Denominators means GCF of 34,6764 as per the given fractions.

GCF of 34,6764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,180

LCM of Fractions 711/34,180/6764 is 7110

3 711, 180
3 237, 60
79, 20

∴ So the LCM of the given numbers is 3 x 3 x 79 x 20 = 14220

Least Common Multiple of 711,180 with GCF Formula

Least Common Multiple of 711,180 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 711,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,180) = 9

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

GCF(711,180) x common factors =9 x 1 = 9

LCM(711,180) = ( 711 × 180 ) / 9

LCM(711,180) = 127980 / 9

LCM(711,180) = 14220


Lets's calculate GCF of 34,6764

2 34, 6764
17, 3382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14220/2

Therefore the LCM of Fractions 711/34,180/6764 is 7110

Greatest Common Factor of 34,6764 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,6764 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 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Greatest Common Factor

We found the factors 34,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 34,6764 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 711/34, 180/6764

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 711/34, 180/6764?

Answer: LCM of Numerators as per given numbers 711/34, 180/6764 is

LCM of Numerators i.e. for 711,180 is 14220

GCF of denominators i.e. for 34,6764 is 2.

Thus, LCM of Fractions is 7110.Finally, LCM of Fractions for 711/34, 180/6764 is 7110.