Least Common Multiple of 2360/671, 1685/1916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2360/671, 1685/1916 quickly i.e. 795320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2360/671, 1685/1916 is 795320.

LCM(2360/671, 1685/1916) = 795320

LCM of 2360/671, 1685/1916

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 2360/671,1685/1916

Given numbers are 2360/671,1685/1916

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 2360,1685

Least Common Multiple of Numerators i.e. LCM of 2360,1685 is 795320.

GCF of Denominators means GCF of 671,1916 as per the given fractions.

GCF of 671,1916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2360,1685

LCM of Fractions 2360/671,1685/1916 is 795320

5 2360, 1685
472, 337

∴ So the LCM of the given numbers is 5 x 472 x 337 = 795320

Least Common Multiple of 2360,1685 with GCF Formula

Least Common Multiple of 2360,1685 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 2360,1685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2360,1685) = 5

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

GCF(2360,1685) x common factors =5 x 1 = 5

LCM(2360,1685) = ( 2360 × 1685 ) / 5

LCM(2360,1685) = 3976600 / 5

LCM(2360,1685) = 795320


Lets's calculate GCF of 671,1916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 795320/1

Therefore the LCM of Fractions 2360/671,1685/1916 is 795320

Greatest Common Factor of 671,1916 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,1916 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1,2,4,479,958,1916

Greatest Common Factor

We found the factors 671,1916 . The biggest common factor number is the GCF number.
So the greatest common factor 671,1916 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2360/671, 1685/1916

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 2360/671, 1685/1916?

Answer: LCM of Numerators as per given numbers 2360/671, 1685/1916 is

LCM of Numerators i.e. for 2360,1685 is 795320

GCF of denominators i.e. for 671,1916 is 1.

Thus, LCM of Fractions is 795320.Finally, LCM of Fractions for 2360/671, 1685/1916 is 795320.