Least Common Multiple of 1740/182, 3610/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1740/182, 3610/348 quickly i.e. 314070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1740/182, 3610/348 is 314070.

LCM(1740/182, 3610/348) = 314070

LCM of 1740/182, 3610/348

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 1740/182,3610/348

Given numbers are 1740/182,3610/348

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 1740,3610

Least Common Multiple of Numerators i.e. LCM of 1740,3610 is 628140.

GCF of Denominators means GCF of 182,348 as per the given fractions.

GCF of 182,348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1740,3610

LCM of Fractions 1740/182,3610/348 is 314070

2 1740, 3610
5 870, 1805
174, 361

∴ So the LCM of the given numbers is 2 x 5 x 174 x 361 = 628140

Least Common Multiple of 1740,3610 with GCF Formula

Least Common Multiple of 1740,3610 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 1740,3610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1740,3610) = 10

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

GCF(1740,3610) x common factors =10 x 1 = 10

LCM(1740,3610) = ( 1740 × 3610 ) / 10

LCM(1740,3610) = 6281400 / 10

LCM(1740,3610) = 628140


Lets's calculate GCF of 182,348

2 182, 348
91, 174

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 628140/2

Therefore the LCM of Fractions 1740/182,3610/348 is 314070

Greatest Common Factor of 182,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,348 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 182,348 . The biggest common factor number is the GCF number.
So the greatest common factor 182,348 is 2.


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 1740/182, 3610/348

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 1740/182, 3610/348?

Answer: LCM of Numerators as per given numbers 1740/182, 3610/348 is

LCM of Numerators i.e. for 1740,3610 is 628140

GCF of denominators i.e. for 182,348 is 2.

Thus, LCM of Fractions is 314070.Finally, LCM of Fractions for 1740/182, 3610/348 is 314070.