Least Common Multiple of 3488/918, 6823/7163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3488/918, 6823/7163 quickly i.e. 23798624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3488/918, 6823/7163 is 23798624.

LCM(3488/918, 6823/7163) = 23798624

LCM of 3488/918, 6823/7163

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 3488/918,6823/7163

Given numbers are 3488/918,6823/7163

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 3488,6823

Least Common Multiple of Numerators i.e. LCM of 3488,6823 is 23798624.

GCF of Denominators means GCF of 918,7163 as per the given fractions.

GCF of 918,7163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3488,6823

LCM of Fractions 3488/918,6823/7163 is 23798624

Given numbers has no common factors except 1. So, there LCM is their product i.e 23798624

Least Common Multiple of 3488,6823 with GCF Formula

Least Common Multiple of 3488,6823 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 3488,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3488,6823) = 1

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

GCF(3488,6823) x common factors =1 x 1 = 1

LCM(3488,6823) = ( 3488 × 6823 ) / 1

LCM(3488,6823) = 23798624 / 1

LCM(3488,6823) = 23798624


Lets's calculate GCF of 918,7163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23798624/1

Therefore the LCM of Fractions 3488/918,6823/7163 is 23798624

Greatest Common Factor of 918,7163 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,7163 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 7163

List of positive integer factors of 7163 that divides 7163 without a remainder.

1,13,19,29,247,377,551,7163

Greatest Common Factor

We found the factors 918,7163 . The biggest common factor number is the GCF number.
So the greatest common factor 918,7163 is 1.


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 3488/918, 6823/7163

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 3488/918, 6823/7163?

Answer: LCM of Numerators as per given numbers 3488/918, 6823/7163 is

LCM of Numerators i.e. for 3488,6823 is 23798624

GCF of denominators i.e. for 918,7163 is 1.

Thus, LCM of Fractions is 23798624.Finally, LCM of Fractions for 3488/918, 6823/7163 is 23798624.