Least Common Multiple of 1704/690, 1526/1764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1704/690, 1526/1764 quickly i.e. 216692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1704/690, 1526/1764 is 216692.

LCM(1704/690, 1526/1764) = 216692

LCM of 1704/690, 1526/1764

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 1704/690,1526/1764

Given numbers are 1704/690,1526/1764

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 1704,1526

Least Common Multiple of Numerators i.e. LCM of 1704,1526 is 1300152.

GCF of Denominators means GCF of 690,1764 as per the given fractions.

GCF of 690,1764 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1704,1526

LCM of Fractions 1704/690,1526/1764 is 216692

2 1704, 1526
852, 763

∴ So the LCM of the given numbers is 2 x 852 x 763 = 1300152

Least Common Multiple of 1704,1526 with GCF Formula

Least Common Multiple of 1704,1526 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 1704,1526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1704,1526) = 2

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

GCF(1704,1526) x common factors =2 x 1 = 2

LCM(1704,1526) = ( 1704 × 1526 ) / 2

LCM(1704,1526) = 2600304 / 2

LCM(1704,1526) = 1300152


Lets's calculate GCF of 690,1764

2 690, 1764
3 345, 882
115, 294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300152/6

Therefore the LCM of Fractions 1704/690,1526/1764 is 216692

Greatest Common Factor of 690,1764 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,1764 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764

Greatest Common Factor

We found the factors 690,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 690,1764 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 1704/690, 1526/1764

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 1704/690, 1526/1764?

Answer: LCM of Numerators as per given numbers 1704/690, 1526/1764 is

LCM of Numerators i.e. for 1704,1526 is 1300152

GCF of denominators i.e. for 690,1764 is 6.

Thus, LCM of Fractions is 216692.Finally, LCM of Fractions for 1704/690, 1526/1764 is 216692.