Least Common Multiple of 688/696, 923/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/696, 923/802 quickly i.e. 317512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/696, 923/802 is 317512.

LCM(688/696, 923/802) = 317512

LCM of 688/696, 923/802

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 688/696,923/802

Given numbers are 688/696,923/802

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 688,923

Least Common Multiple of Numerators i.e. LCM of 688,923 is 635024.

GCF of Denominators means GCF of 696,802 as per the given fractions.

GCF of 696,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,923

LCM of Fractions 688/696,923/802 is 317512

Given numbers has no common factors except 1. So, there LCM is their product i.e 635024

Least Common Multiple of 688,923 with GCF Formula

Least Common Multiple of 688,923 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 688,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,923) = 1

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

GCF(688,923) x common factors =1 x 1 = 1

LCM(688,923) = ( 688 × 923 ) / 1

LCM(688,923) = 635024 / 1

LCM(688,923) = 635024


Lets's calculate GCF of 696,802

2 696, 802
348, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 635024/2

Therefore the LCM of Fractions 688/696,923/802 is 317512

Greatest Common Factor of 696,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,802 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 696,802 . The biggest common factor number is the GCF number.
So the greatest common factor 696,802 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 688/696, 923/802

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 688/696, 923/802?

Answer: LCM of Numerators as per given numbers 688/696, 923/802 is

LCM of Numerators i.e. for 688,923 is 635024

GCF of denominators i.e. for 696,802 is 2.

Thus, LCM of Fractions is 317512.Finally, LCM of Fractions for 688/696, 923/802 is 317512.