Least Common Multiple of 1682/210, 2010/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1682/210, 2010/744 quickly i.e. 281735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1682/210, 2010/744 is 281735.

LCM(1682/210, 2010/744) = 281735

LCM of 1682/210, 2010/744

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 1682/210,2010/744

Given numbers are 1682/210,2010/744

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 1682,2010

Least Common Multiple of Numerators i.e. LCM of 1682,2010 is 1690410.

GCF of Denominators means GCF of 210,744 as per the given fractions.

GCF of 210,744 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1682,2010

LCM of Fractions 1682/210,2010/744 is 281735

2 1682, 2010
841, 1005

∴ So the LCM of the given numbers is 2 x 841 x 1005 = 1690410

Least Common Multiple of 1682,2010 with GCF Formula

Least Common Multiple of 1682,2010 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 1682,2010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1682,2010) = 2

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

GCF(1682,2010) x common factors =2 x 1 = 2

LCM(1682,2010) = ( 1682 × 2010 ) / 2

LCM(1682,2010) = 3380820 / 2

LCM(1682,2010) = 1690410


Lets's calculate GCF of 210,744

2 210, 744
3 105, 372
35, 124

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1690410/6

Therefore the LCM of Fractions 1682/210,2010/744 is 281735

Greatest Common Factor of 210,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,744 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 210,744 . The biggest common factor number is the GCF number.
So the greatest common factor 210,744 is 6.


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 1682/210, 2010/744

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 1682/210, 2010/744?

Answer: LCM of Numerators as per given numbers 1682/210, 2010/744 is

LCM of Numerators i.e. for 1682,2010 is 1690410

GCF of denominators i.e. for 210,744 is 6.

Thus, LCM of Fractions is 281735.Finally, LCM of Fractions for 1682/210, 2010/744 is 281735.