Least Common Multiple of 188/69, 870/6739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/69, 870/6739 quickly i.e. 81780/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/69, 870/6739 is 81780/23.

LCM(188/69, 870/6739) = 81780/23

LCM of 188/69, 870/6739

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 188/69,870/6739

Given numbers are 188/69,870/6739

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 188,870

Least Common Multiple of Numerators i.e. LCM of 188,870 is 81780.

GCF of Denominators means GCF of 69,6739 as per the given fractions.

GCF of 69,6739 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,870

LCM of Fractions 188/69,870/6739 is 81780/23

2 188, 870
94, 435

∴ So the LCM of the given numbers is 2 x 94 x 435 = 81780

Least Common Multiple of 188,870 with GCF Formula

Least Common Multiple of 188,870 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 188,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,870) = 2

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

GCF(188,870) x common factors =2 x 1 = 2

LCM(188,870) = ( 188 × 870 ) / 2

LCM(188,870) = 163560 / 2

LCM(188,870) = 81780


Lets's calculate GCF of 69,6739

23 69, 6739
3, 293

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81780/23

Therefore the LCM of Fractions 188/69,870/6739 is 81780/23

Greatest Common Factor of 69,6739 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,6739 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 6739

List of positive integer factors of 6739 that divides 6739 without a remainder.

1,23,293,6739

Greatest Common Factor

We found the factors 69,6739 . The biggest common factor number is the GCF number.
So the greatest common factor 69,6739 is 23.


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 188/69, 870/6739

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 188/69, 870/6739?

Answer: LCM of Numerators as per given numbers 188/69, 870/6739 is

LCM of Numerators i.e. for 188,870 is 81780

GCF of denominators i.e. for 69,6739 is 23.

Thus, LCM of Fractions is 81780/23.Finally, LCM of Fractions for 188/69, 870/6739 is 81780/23.