Least Common Multiple of 1710/699, 1652/4955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1710/699, 1652/4955 quickly i.e. 1412460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1710/699, 1652/4955 is 1412460.

LCM(1710/699, 1652/4955) = 1412460

LCM of 1710/699, 1652/4955

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 1710/699,1652/4955

Given numbers are 1710/699,1652/4955

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 1710,1652

Least Common Multiple of Numerators i.e. LCM of 1710,1652 is 1412460.

GCF of Denominators means GCF of 699,4955 as per the given fractions.

GCF of 699,4955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1710,1652

LCM of Fractions 1710/699,1652/4955 is 1412460

2 1710, 1652
855, 826

∴ So the LCM of the given numbers is 2 x 855 x 826 = 1412460

Least Common Multiple of 1710,1652 with GCF Formula

Least Common Multiple of 1710,1652 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 1710,1652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1710,1652) = 2

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

GCF(1710,1652) x common factors =2 x 1 = 2

LCM(1710,1652) = ( 1710 × 1652 ) / 2

LCM(1710,1652) = 2824920 / 2

LCM(1710,1652) = 1412460


Lets's calculate GCF of 699,4955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412460/1

Therefore the LCM of Fractions 1710/699,1652/4955 is 1412460

Greatest Common Factor of 699,4955 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,4955 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

Greatest Common Factor

We found the factors 699,4955 . The biggest common factor number is the GCF number.
So the greatest common factor 699,4955 is 1.


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 1710/699, 1652/4955

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 1710/699, 1652/4955?

Answer: LCM of Numerators as per given numbers 1710/699, 1652/4955 is

LCM of Numerators i.e. for 1710,1652 is 1412460

GCF of denominators i.e. for 699,4955 is 1.

Thus, LCM of Fractions is 1412460.Finally, LCM of Fractions for 1710/699, 1652/4955 is 1412460.