Least Common Multiple of 690/671, 275/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 690/671, 275/889 quickly i.e. 37950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/671, 275/889 is 37950.

LCM(690/671, 275/889) = 37950

LCM of 690/671, 275/889

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 690/671,275/889

Given numbers are 690/671,275/889

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 690,275

Least Common Multiple of Numerators i.e. LCM of 690,275 is 37950.

GCF of Denominators means GCF of 671,889 as per the given fractions.

GCF of 671,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,275

LCM of Fractions 690/671,275/889 is 37950

5 690, 275
138, 55

∴ So the LCM of the given numbers is 5 x 138 x 55 = 37950

Least Common Multiple of 690,275 with GCF Formula

Least Common Multiple of 690,275 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 690,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,275) = 5

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

GCF(690,275) x common factors =5 x 1 = 5

LCM(690,275) = ( 690 × 275 ) / 5

LCM(690,275) = 189750 / 5

LCM(690,275) = 37950


Lets's calculate GCF of 671,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37950/1

Therefore the LCM of Fractions 690/671,275/889 is 37950

Greatest Common Factor of 671,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,889 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 671,889 . The biggest common factor number is the GCF number.
So the greatest common factor 671,889 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 690/671, 275/889

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 690/671, 275/889?

Answer: LCM of Numerators as per given numbers 690/671, 275/889 is

LCM of Numerators i.e. for 690,275 is 37950

GCF of denominators i.e. for 671,889 is 1.

Thus, LCM of Fractions is 37950.Finally, LCM of Fractions for 690/671, 275/889 is 37950.