Least Common Multiple of 1406/380, 1607/2753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1406/380, 1607/2753 quickly i.e. 2259442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1406/380, 1607/2753 is 2259442.

LCM(1406/380, 1607/2753) = 2259442

LCM of 1406/380, 1607/2753

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 1406/380,1607/2753

Given numbers are 1406/380,1607/2753

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 1406,1607

Least Common Multiple of Numerators i.e. LCM of 1406,1607 is 2259442.

GCF of Denominators means GCF of 380,2753 as per the given fractions.

GCF of 380,2753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1406,1607

LCM of Fractions 1406/380,1607/2753 is 2259442

Given numbers has no common factors except 1. So, there LCM is their product i.e 2259442

Least Common Multiple of 1406,1607 with GCF Formula

Least Common Multiple of 1406,1607 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 1406,1607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1406,1607) = 1

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

GCF(1406,1607) x common factors =1 x 1 = 1

LCM(1406,1607) = ( 1406 × 1607 ) / 1

LCM(1406,1607) = 2259442 / 1

LCM(1406,1607) = 2259442


Lets's calculate GCF of 380,2753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2259442/1

Therefore the LCM of Fractions 1406/380,1607/2753 is 2259442

Greatest Common Factor of 380,2753 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,2753 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 2753

List of positive integer factors of 2753 that divides 2753 without a remainder.

1,2753

Greatest Common Factor

We found the factors 380,2753 . The biggest common factor number is the GCF number.
So the greatest common factor 380,2753 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 1406/380, 1607/2753

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 1406/380, 1607/2753?

Answer: LCM of Numerators as per given numbers 1406/380, 1607/2753 is

LCM of Numerators i.e. for 1406,1607 is 2259442

GCF of denominators i.e. for 380,2753 is 1.

Thus, LCM of Fractions is 2259442.Finally, LCM of Fractions for 1406/380, 1607/2753 is 2259442.