Least Common Multiple of 697/14, 340/7529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 697/14, 340/7529 quickly i.e. 13940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/14, 340/7529 is 13940.

LCM(697/14, 340/7529) = 13940

LCM of 697/14, 340/7529

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 697/14,340/7529

Given numbers are 697/14,340/7529

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 697,340

Least Common Multiple of Numerators i.e. LCM of 697,340 is 13940.

GCF of Denominators means GCF of 14,7529 as per the given fractions.

GCF of 14,7529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,340

LCM of Fractions 697/14,340/7529 is 13940

17 697, 340
41, 20

∴ So the LCM of the given numbers is 17 x 41 x 20 = 13940

Least Common Multiple of 697,340 with GCF Formula

Least Common Multiple of 697,340 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 697,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,340) = 17

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

GCF(697,340) x common factors =17 x 1 = 17

LCM(697,340) = ( 697 × 340 ) / 17

LCM(697,340) = 236980 / 17

LCM(697,340) = 13940


Lets's calculate GCF of 14,7529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13940/1

Therefore the LCM of Fractions 697/14,340/7529 is 13940

Greatest Common Factor of 14,7529 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,7529 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 7529

List of positive integer factors of 7529 that divides 7529 without a remainder.

1,7529

Greatest Common Factor

We found the factors 14,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7529 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 697/14, 340/7529

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 697/14, 340/7529?

Answer: LCM of Numerators as per given numbers 697/14, 340/7529 is

LCM of Numerators i.e. for 697,340 is 13940

GCF of denominators i.e. for 14,7529 is 1.

Thus, LCM of Fractions is 13940.Finally, LCM of Fractions for 697/14, 340/7529 is 13940.