Least Common Multiple of 972/43, 830/6871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/43, 830/6871 quickly i.e. 403380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/43, 830/6871 is 403380.

LCM(972/43, 830/6871) = 403380

LCM of 972/43, 830/6871

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 972/43,830/6871

Given numbers are 972/43,830/6871

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 972,830

Least Common Multiple of Numerators i.e. LCM of 972,830 is 403380.

GCF of Denominators means GCF of 43,6871 as per the given fractions.

GCF of 43,6871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,830

LCM of Fractions 972/43,830/6871 is 403380

2 972, 830
486, 415

∴ So the LCM of the given numbers is 2 x 486 x 415 = 403380

Least Common Multiple of 972,830 with GCF Formula

Least Common Multiple of 972,830 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 972,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,830) = 2

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

GCF(972,830) x common factors =2 x 1 = 2

LCM(972,830) = ( 972 × 830 ) / 2

LCM(972,830) = 806760 / 2

LCM(972,830) = 403380


Lets's calculate GCF of 43,6871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403380/1

Therefore the LCM of Fractions 972/43,830/6871 is 403380

Greatest Common Factor of 43,6871 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,6871 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1,6871

Greatest Common Factor

We found the factors 43,6871 . The biggest common factor number is the GCF number.
So the greatest common factor 43,6871 is 1.


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 972/43, 830/6871

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 972/43, 830/6871?

Answer: LCM of Numerators as per given numbers 972/43, 830/6871 is

LCM of Numerators i.e. for 972,830 is 403380

GCF of denominators i.e. for 43,6871 is 1.

Thus, LCM of Fractions is 403380.Finally, LCM of Fractions for 972/43, 830/6871 is 403380.