Least Common Multiple of 658/803, 557/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 658/803, 557/341 quickly i.e. 366506/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/803, 557/341 is 366506/11.

LCM(658/803, 557/341) = 366506/11

LCM of 658/803, 557/341

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 658/803,557/341

Given numbers are 658/803,557/341

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 658,557

Least Common Multiple of Numerators i.e. LCM of 658,557 is 366506.

GCF of Denominators means GCF of 803,341 as per the given fractions.

GCF of 803,341 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,557

LCM of Fractions 658/803,557/341 is 366506/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 366506

Least Common Multiple of 658,557 with GCF Formula

Least Common Multiple of 658,557 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 658,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,557) = 1

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

GCF(658,557) x common factors =1 x 1 = 1

LCM(658,557) = ( 658 × 557 ) / 1

LCM(658,557) = 366506 / 1

LCM(658,557) = 366506


Lets's calculate GCF of 803,341

11 803, 341
73, 31

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366506/11

Therefore the LCM of Fractions 658/803,557/341 is 366506/11

Greatest Common Factor of 803,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,341 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 803,341 . The biggest common factor number is the GCF number.
So the greatest common factor 803,341 is 11.


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 658/803, 557/341

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 658/803, 557/341?

Answer: LCM of Numerators as per given numbers 658/803, 557/341 is

LCM of Numerators i.e. for 658,557 is 366506

GCF of denominators i.e. for 803,341 is 11.

Thus, LCM of Fractions is 366506/11.Finally, LCM of Fractions for 658/803, 557/341 is 366506/11.