Least Common Multiple of 769/238, 4098/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 769/238, 4098/851 quickly i.e. 3151362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/238, 4098/851 is 3151362.

LCM(769/238, 4098/851) = 3151362

LCM of 769/238, 4098/851

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 769/238,4098/851

Given numbers are 769/238,4098/851

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 769,4098

Least Common Multiple of Numerators i.e. LCM of 769,4098 is 3151362.

GCF of Denominators means GCF of 238,851 as per the given fractions.

GCF of 238,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,4098

LCM of Fractions 769/238,4098/851 is 3151362

Given numbers has no common factors except 1. So, there LCM is their product i.e 3151362

Least Common Multiple of 769,4098 with GCF Formula

Least Common Multiple of 769,4098 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 769,4098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,4098) = 1

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

GCF(769,4098) x common factors =1 x 1 = 1

LCM(769,4098) = ( 769 × 4098 ) / 1

LCM(769,4098) = 3151362 / 1

LCM(769,4098) = 3151362


Lets's calculate GCF of 238,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3151362/1

Therefore the LCM of Fractions 769/238,4098/851 is 3151362

Greatest Common Factor of 238,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,851 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 238,851 . The biggest common factor number is the GCF number.
So the greatest common factor 238,851 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 769/238, 4098/851

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 769/238, 4098/851?

Answer: LCM of Numerators as per given numbers 769/238, 4098/851 is

LCM of Numerators i.e. for 769,4098 is 3151362

GCF of denominators i.e. for 238,851 is 1.

Thus, LCM of Fractions is 3151362.Finally, LCM of Fractions for 769/238, 4098/851 is 3151362.