Least Common Multiple of 7769/828, 1484/1900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7769/828, 1484/1900 quickly i.e. 2882299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7769/828, 1484/1900 is 2882299.

LCM(7769/828, 1484/1900) = 2882299

LCM of 7769/828, 1484/1900

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 7769/828,1484/1900

Given numbers are 7769/828,1484/1900

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 7769,1484

Least Common Multiple of Numerators i.e. LCM of 7769,1484 is 11529196.

GCF of Denominators means GCF of 828,1900 as per the given fractions.

GCF of 828,1900 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7769,1484

LCM of Fractions 7769/828,1484/1900 is 2882299

Given numbers has no common factors except 1. So, there LCM is their product i.e 11529196

Least Common Multiple of 7769,1484 with GCF Formula

Least Common Multiple of 7769,1484 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 7769,1484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7769,1484) = 1

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

GCF(7769,1484) x common factors =1 x 1 = 1

LCM(7769,1484) = ( 7769 × 1484 ) / 1

LCM(7769,1484) = 11529196 / 1

LCM(7769,1484) = 11529196


Lets's calculate GCF of 828,1900

2 828, 1900
2 414, 950
207, 475

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11529196/4

Therefore the LCM of Fractions 7769/828,1484/1900 is 2882299

Greatest Common Factor of 828,1900 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,1900 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 1900

List of positive integer factors of 1900 that divides 1900 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900

Greatest Common Factor

We found the factors 828,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 828,1900 is 4.


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 7769/828, 1484/1900

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 7769/828, 1484/1900?

Answer: LCM of Numerators as per given numbers 7769/828, 1484/1900 is

LCM of Numerators i.e. for 7769,1484 is 11529196

GCF of denominators i.e. for 828,1900 is 4.

Thus, LCM of Fractions is 2882299.Finally, LCM of Fractions for 7769/828, 1484/1900 is 2882299.