Least Common Multiple of 69/188, 51/877, 702/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/188, 51/877, 702/683 quickly i.e. 274482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/188, 51/877, 702/683 is 274482.

LCM(69/188, 51/877, 702/683) = 274482

LCM of 69/188, 51/877, 702/683

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 69/188,51/877,702/683

Given numbers are 69/188,51/877,702/683

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 69,51,702

Least Common Multiple of Numerators i.e. LCM of 69,51,702 is 274482.

GCF of Denominators means GCF of 188,877,683 as per the given fractions.

GCF of 188,877,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,51,702

LCM of Fractions 69/188,51/877,702/683 is 274482

3 69, 51, 702
23, 17, 234

∴ So the LCM of the given numbers is 3 x 23 x 17 x 234 = 274482

Least Common Multiple of 69,51,702 with GCF Formula

Least Common Multiple of 69,51,702 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 69,51,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,51,702) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,51,702) x common factors =3 x 3 = 9

LCM(69,51,702) = ( 69 × 51 × 702 ) / 9

LCM(69,51,702) = 2470338 / 9

LCM(69,51,702) = 274482


Lets's calculate GCF of 188,877,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274482/1

Therefore the LCM of Fractions 69/188,51/877,702/683 is 274482

Greatest Common Factor of 188,877,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,877,683 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 188,877,683 . The biggest common factor number is the GCF number.
So the greatest common factor 188,877,683 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 69/188, 51/877, 702/683

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 69/188, 51/877, 702/683?

Answer: LCM of Numerators as per given numbers 69/188, 51/877, 702/683 is

LCM of Numerators i.e. for 69,51,702 is 274482

GCF of denominators i.e. for 188,877,683 is 1.

Thus, LCM of Fractions is 274482.Finally, LCM of Fractions for 69/188, 51/877, 702/683 is 274482.