Least Common Multiple of 689/877, 358/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 689/877, 358/382 quickly i.e. 246662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/877, 358/382 is 246662.

LCM(689/877, 358/382) = 246662

LCM of 689/877, 358/382

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 689/877,358/382

Given numbers are 689/877,358/382

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 689,358

Least Common Multiple of Numerators i.e. LCM of 689,358 is 246662.

GCF of Denominators means GCF of 877,382 as per the given fractions.

GCF of 877,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,358

LCM of Fractions 689/877,358/382 is 246662

Given numbers has no common factors except 1. So, there LCM is their product i.e 246662

Least Common Multiple of 689,358 with GCF Formula

Least Common Multiple of 689,358 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 689,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,358) = 1

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

GCF(689,358) x common factors =1 x 1 = 1

LCM(689,358) = ( 689 × 358 ) / 1

LCM(689,358) = 246662 / 1

LCM(689,358) = 246662


Lets's calculate GCF of 877,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246662/1

Therefore the LCM of Fractions 689/877,358/382 is 246662

Greatest Common Factor of 877,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,382 By Matching Biggest Common Factor Method

Factors of 877

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

1,877

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 877,382 . The biggest common factor number is the GCF number.
So the greatest common factor 877,382 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 689/877, 358/382

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 689/877, 358/382?

Answer: LCM of Numerators as per given numbers 689/877, 358/382 is

LCM of Numerators i.e. for 689,358 is 246662

GCF of denominators i.e. for 877,382 is 1.

Thus, LCM of Fractions is 246662.Finally, LCM of Fractions for 689/877, 358/382 is 246662.