Least Common Multiple of 492/761, 1650/6861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/761, 1650/6861 quickly i.e. 135300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/761, 1650/6861 is 135300.

LCM(492/761, 1650/6861) = 135300

LCM of 492/761, 1650/6861

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 492/761,1650/6861

Given numbers are 492/761,1650/6861

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 492,1650

Least Common Multiple of Numerators i.e. LCM of 492,1650 is 135300.

GCF of Denominators means GCF of 761,6861 as per the given fractions.

GCF of 761,6861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,1650

LCM of Fractions 492/761,1650/6861 is 135300

2 492, 1650
3 246, 825
82, 275

∴ So the LCM of the given numbers is 2 x 3 x 82 x 275 = 135300

Least Common Multiple of 492,1650 with GCF Formula

Least Common Multiple of 492,1650 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 492,1650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,1650) = 6

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

GCF(492,1650) x common factors =6 x 1 = 6

LCM(492,1650) = ( 492 × 1650 ) / 6

LCM(492,1650) = 811800 / 6

LCM(492,1650) = 135300


Lets's calculate GCF of 761,6861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135300/1

Therefore the LCM of Fractions 492/761,1650/6861 is 135300

Greatest Common Factor of 761,6861 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,6861 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 6861

List of positive integer factors of 6861 that divides 6861 without a remainder.

1,3,2287,6861

Greatest Common Factor

We found the factors 761,6861 . The biggest common factor number is the GCF number.
So the greatest common factor 761,6861 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 492/761, 1650/6861

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 492/761, 1650/6861?

Answer: LCM of Numerators as per given numbers 492/761, 1650/6861 is

LCM of Numerators i.e. for 492,1650 is 135300

GCF of denominators i.e. for 761,6861 is 1.

Thus, LCM of Fractions is 135300.Finally, LCM of Fractions for 492/761, 1650/6861 is 135300.