Least Common Multiple of 53/34, 609/14, 440/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/34, 609/14, 440/926 quickly i.e. 7100940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/34, 609/14, 440/926 is 7100940.

LCM(53/34, 609/14, 440/926) = 7100940

LCM of 53/34, 609/14, 440/926

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 53/34,609/14,440/926

Given numbers are 53/34,609/14,440/926

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 53,609,440

Least Common Multiple of Numerators i.e. LCM of 53,609,440 is 14201880.

GCF of Denominators means GCF of 34,14,926 as per the given fractions.

GCF of 34,14,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,609,440

LCM of Fractions 53/34,609/14,440/926 is 7100940

Given numbers has no common factors except 1. So, there LCM is their product i.e 14201880

Least Common Multiple of 53,609,440 with GCF Formula

Least Common Multiple of 53,609,440 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 53,609,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,609,440) = 1

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

GCF(53,609,440) x common factors =1 x 1 = 1

LCM(53,609,440) = ( 53 × 609 × 440 ) / 1

LCM(53,609,440) = 14201880 / 1

LCM(53,609,440) = 14201880


Lets's calculate GCF of 34,14,926

2 34, 14, 926
17, 7, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14201880/2

Therefore the LCM of Fractions 53/34,609/14,440/926 is 7100940

Greatest Common Factor of 34,14,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,14,926 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 34,14,926 . The biggest common factor number is the GCF number.
So the greatest common factor 34,14,926 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 53/34, 609/14, 440/926

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 53/34, 609/14, 440/926?

Answer: LCM of Numerators as per given numbers 53/34, 609/14, 440/926 is

LCM of Numerators i.e. for 53,609,440 is 14201880

GCF of denominators i.e. for 34,14,926 is 2.

Thus, LCM of Fractions is 7100940.Finally, LCM of Fractions for 53/34, 609/14, 440/926 is 7100940.