Least Common Multiple of 969/53, 1380/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 969/53, 1380/673 quickly i.e. 445740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/53, 1380/673 is 445740.

LCM(969/53, 1380/673) = 445740

LCM of 969/53, 1380/673

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 969/53,1380/673

Given numbers are 969/53,1380/673

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 969,1380

Least Common Multiple of Numerators i.e. LCM of 969,1380 is 445740.

GCF of Denominators means GCF of 53,673 as per the given fractions.

GCF of 53,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,1380

LCM of Fractions 969/53,1380/673 is 445740

3 969, 1380
323, 460

∴ So the LCM of the given numbers is 3 x 323 x 460 = 445740

Least Common Multiple of 969,1380 with GCF Formula

Least Common Multiple of 969,1380 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 969,1380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,1380) = 3

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

GCF(969,1380) x common factors =3 x 1 = 3

LCM(969,1380) = ( 969 × 1380 ) / 3

LCM(969,1380) = 1337220 / 3

LCM(969,1380) = 445740


Lets's calculate GCF of 53,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445740/1

Therefore the LCM of Fractions 969/53,1380/673 is 445740

Greatest Common Factor of 53,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,673 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 53,673 . The biggest common factor number is the GCF number.
So the greatest common factor 53,673 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 969/53, 1380/673

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 969/53, 1380/673?

Answer: LCM of Numerators as per given numbers 969/53, 1380/673 is

LCM of Numerators i.e. for 969,1380 is 445740

GCF of denominators i.e. for 53,673 is 1.

Thus, LCM of Fractions is 445740.Finally, LCM of Fractions for 969/53, 1380/673 is 445740.