Least Common Multiple of 688/71, 506/2726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/71, 506/2726 quickly i.e. 174064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/71, 506/2726 is 174064.

LCM(688/71, 506/2726) = 174064

LCM of 688/71, 506/2726

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 688/71,506/2726

Given numbers are 688/71,506/2726

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 688,506

Least Common Multiple of Numerators i.e. LCM of 688,506 is 174064.

GCF of Denominators means GCF of 71,2726 as per the given fractions.

GCF of 71,2726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,506

LCM of Fractions 688/71,506/2726 is 174064

2 688, 506
344, 253

∴ So the LCM of the given numbers is 2 x 344 x 253 = 174064

Least Common Multiple of 688,506 with GCF Formula

Least Common Multiple of 688,506 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 688,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,506) = 2

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

GCF(688,506) x common factors =2 x 1 = 2

LCM(688,506) = ( 688 × 506 ) / 2

LCM(688,506) = 348128 / 2

LCM(688,506) = 174064


Lets's calculate GCF of 71,2726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174064/1

Therefore the LCM of Fractions 688/71,506/2726 is 174064

Greatest Common Factor of 71,2726 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,2726 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 2726

List of positive integer factors of 2726 that divides 2726 without a remainder.

1,2,29,47,58,94,1363,2726

Greatest Common Factor

We found the factors 71,2726 . The biggest common factor number is the GCF number.
So the greatest common factor 71,2726 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 688/71, 506/2726

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 688/71, 506/2726?

Answer: LCM of Numerators as per given numbers 688/71, 506/2726 is

LCM of Numerators i.e. for 688,506 is 174064

GCF of denominators i.e. for 71,2726 is 1.

Thus, LCM of Fractions is 174064.Finally, LCM of Fractions for 688/71, 506/2726 is 174064.