Least Common Multiple of 293/918, 883/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 293/918, 883/504 quickly i.e. 258719/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/918, 883/504 is 258719/18.

LCM(293/918, 883/504) = 258719/18

LCM of 293/918, 883/504

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 293/918,883/504

Given numbers are 293/918,883/504

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 293,883

Least Common Multiple of Numerators i.e. LCM of 293,883 is 258719.

GCF of Denominators means GCF of 918,504 as per the given fractions.

GCF of 918,504 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,883

LCM of Fractions 293/918,883/504 is 258719/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 258719

Least Common Multiple of 293,883 with GCF Formula

Least Common Multiple of 293,883 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 293,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,883) = 1

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

GCF(293,883) x common factors =1 x 1 = 1

LCM(293,883) = ( 293 × 883 ) / 1

LCM(293,883) = 258719 / 1

LCM(293,883) = 258719


Lets's calculate GCF of 918,504

2 918, 504
3 459, 252
3 153, 84
51, 28

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258719/18

Therefore the LCM of Fractions 293/918,883/504 is 258719/18

Greatest Common Factor of 918,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,504 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 918,504 . The biggest common factor number is the GCF number.
So the greatest common factor 918,504 is 18.


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 293/918, 883/504

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 293/918, 883/504?

Answer: LCM of Numerators as per given numbers 293/918, 883/504 is

LCM of Numerators i.e. for 293,883 is 258719

GCF of denominators i.e. for 918,504 is 18.

Thus, LCM of Fractions is 258719/18.Finally, LCM of Fractions for 293/918, 883/504 is 258719/18.