Least Common Multiple of 6972/128, 6034/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6972/128, 6034/290 quickly i.e. 1502466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6972/128, 6034/290 is 1502466.

LCM(6972/128, 6034/290) = 1502466

LCM of 6972/128, 6034/290

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 6972/128,6034/290

Given numbers are 6972/128,6034/290

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 6972,6034

Least Common Multiple of Numerators i.e. LCM of 6972,6034 is 3004932.

GCF of Denominators means GCF of 128,290 as per the given fractions.

GCF of 128,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6972,6034

LCM of Fractions 6972/128,6034/290 is 1502466

2 6972, 6034
7 3486, 3017
498, 431

∴ So the LCM of the given numbers is 2 x 7 x 498 x 431 = 3004932

Least Common Multiple of 6972,6034 with GCF Formula

Least Common Multiple of 6972,6034 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 6972,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6972,6034) = 14

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

GCF(6972,6034) x common factors =14 x 1 = 14

LCM(6972,6034) = ( 6972 × 6034 ) / 14

LCM(6972,6034) = 42069048 / 14

LCM(6972,6034) = 3004932


Lets's calculate GCF of 128,290

2 128, 290
64, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3004932/2

Therefore the LCM of Fractions 6972/128,6034/290 is 1502466

Greatest Common Factor of 128,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,290 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 128,290 . The biggest common factor number is the GCF number.
So the greatest common factor 128,290 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 6972/128, 6034/290

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 6972/128, 6034/290?

Answer: LCM of Numerators as per given numbers 6972/128, 6034/290 is

LCM of Numerators i.e. for 6972,6034 is 3004932

GCF of denominators i.e. for 128,290 is 2.

Thus, LCM of Fractions is 1502466.Finally, LCM of Fractions for 6972/128, 6034/290 is 1502466.