Least Common Multiple of 1706/363, 5478/7460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1706/363, 5478/7460 quickly i.e. 4672734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1706/363, 5478/7460 is 4672734.

LCM(1706/363, 5478/7460) = 4672734

LCM of 1706/363, 5478/7460

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 1706/363,5478/7460

Given numbers are 1706/363,5478/7460

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 1706,5478

Least Common Multiple of Numerators i.e. LCM of 1706,5478 is 4672734.

GCF of Denominators means GCF of 363,7460 as per the given fractions.

GCF of 363,7460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1706,5478

LCM of Fractions 1706/363,5478/7460 is 4672734

2 1706, 5478
853, 2739

∴ So the LCM of the given numbers is 2 x 853 x 2739 = 4672734

Least Common Multiple of 1706,5478 with GCF Formula

Least Common Multiple of 1706,5478 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 1706,5478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1706,5478) = 2

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

GCF(1706,5478) x common factors =2 x 1 = 2

LCM(1706,5478) = ( 1706 × 5478 ) / 2

LCM(1706,5478) = 9345468 / 2

LCM(1706,5478) = 4672734


Lets's calculate GCF of 363,7460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4672734/1

Therefore the LCM of Fractions 1706/363,5478/7460 is 4672734

Greatest Common Factor of 363,7460 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,7460 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1,2,4,5,10,20,373,746,1492,1865,3730,7460

Greatest Common Factor

We found the factors 363,7460 . The biggest common factor number is the GCF number.
So the greatest common factor 363,7460 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 1706/363, 5478/7460

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 1706/363, 5478/7460?

Answer: LCM of Numerators as per given numbers 1706/363, 5478/7460 is

LCM of Numerators i.e. for 1706,5478 is 4672734

GCF of denominators i.e. for 363,7460 is 1.

Thus, LCM of Fractions is 4672734.Finally, LCM of Fractions for 1706/363, 5478/7460 is 4672734.