Least Common Multiple of 400/673, 1962/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/673, 1962/351 quickly i.e. 392400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/673, 1962/351 is 392400.

LCM(400/673, 1962/351) = 392400

LCM of 400/673, 1962/351

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 400/673,1962/351

Given numbers are 400/673,1962/351

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 400,1962

Least Common Multiple of Numerators i.e. LCM of 400,1962 is 392400.

GCF of Denominators means GCF of 673,351 as per the given fractions.

GCF of 673,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,1962

LCM of Fractions 400/673,1962/351 is 392400

2 400, 1962
200, 981

∴ So the LCM of the given numbers is 2 x 200 x 981 = 392400

Least Common Multiple of 400,1962 with GCF Formula

Least Common Multiple of 400,1962 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 400,1962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,1962) = 2

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

GCF(400,1962) x common factors =2 x 1 = 2

LCM(400,1962) = ( 400 × 1962 ) / 2

LCM(400,1962) = 784800 / 2

LCM(400,1962) = 392400


Lets's calculate GCF of 673,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392400/1

Therefore the LCM of Fractions 400/673,1962/351 is 392400

Greatest Common Factor of 673,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,351 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 673,351 . The biggest common factor number is the GCF number.
So the greatest common factor 673,351 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 400/673, 1962/351

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 400/673, 1962/351?

Answer: LCM of Numerators as per given numbers 400/673, 1962/351 is

LCM of Numerators i.e. for 400,1962 is 392400

GCF of denominators i.e. for 673,351 is 1.

Thus, LCM of Fractions is 392400.Finally, LCM of Fractions for 400/673, 1962/351 is 392400.