Least Common Multiple of 1688/497, 5921/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1688/497, 5921/889 quickly i.e. 9994648/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1688/497, 5921/889 is 9994648/7.

LCM(1688/497, 5921/889) = 9994648/7

LCM of 1688/497, 5921/889

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 1688/497,5921/889

Given numbers are 1688/497,5921/889

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 1688,5921

Least Common Multiple of Numerators i.e. LCM of 1688,5921 is 9994648.

GCF of Denominators means GCF of 497,889 as per the given fractions.

GCF of 497,889 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1688,5921

LCM of Fractions 1688/497,5921/889 is 9994648/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 9994648

Least Common Multiple of 1688,5921 with GCF Formula

Least Common Multiple of 1688,5921 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 1688,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1688,5921) = 1

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

GCF(1688,5921) x common factors =1 x 1 = 1

LCM(1688,5921) = ( 1688 × 5921 ) / 1

LCM(1688,5921) = 9994648 / 1

LCM(1688,5921) = 9994648


Lets's calculate GCF of 497,889

7 497, 889
71, 127

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9994648/7

Therefore the LCM of Fractions 1688/497,5921/889 is 9994648/7

Greatest Common Factor of 497,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,889 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

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 497,889 . The biggest common factor number is the GCF number.
So the greatest common factor 497,889 is 7.


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 1688/497, 5921/889

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 1688/497, 5921/889?

Answer: LCM of Numerators as per given numbers 1688/497, 5921/889 is

LCM of Numerators i.e. for 1688,5921 is 9994648

GCF of denominators i.e. for 497,889 is 7.

Thus, LCM of Fractions is 9994648/7.Finally, LCM of Fractions for 1688/497, 5921/889 is 9994648/7.