Least Common Multiple of 378/28, 810/38, 550/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/28, 810/38, 550/828 quickly i.e. 155925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/28, 810/38, 550/828 is 155925.

LCM(378/28, 810/38, 550/828) = 155925

LCM of 378/28, 810/38, 550/828

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 378/28,810/38,550/828

Given numbers are 378/28,810/38,550/828

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 378,810,550

Least Common Multiple of Numerators i.e. LCM of 378,810,550 is 311850.

GCF of Denominators means GCF of 28,38,828 as per the given fractions.

GCF of 28,38,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,810,550

LCM of Fractions 378/28,810/38,550/828 is 155925

2 378, 810, 550
3 189, 405, 275
3 63, 135, 275
3 21, 45, 275
5 7, 15, 275
7, 3, 55

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 7 x 3 x 55 = 311850

Least Common Multiple of 378,810,550 with GCF Formula

Least Common Multiple of 378,810,550 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 378,810,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,810,550) = 2

common factors(in case of two or more numbers have common factors) = 270

GCF(378,810,550) x common factors =2 x 270 = 540

LCM(378,810,550) = ( 378 × 810 × 550 ) / 540

LCM(378,810,550) = 168399000 / 540

LCM(378,810,550) = 311850


Lets's calculate GCF of 28,38,828

2 28, 38, 828
14, 19, 414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311850/2

Therefore the LCM of Fractions 378/28,810/38,550/828 is 155925

Greatest Common Factor of 28,38,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,38,828 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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

Greatest Common Factor

We found the factors 28,38,828 . The biggest common factor number is the GCF number.
So the greatest common factor 28,38,828 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 378/28, 810/38, 550/828

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 378/28, 810/38, 550/828?

Answer: LCM of Numerators as per given numbers 378/28, 810/38, 550/828 is

LCM of Numerators i.e. for 378,810,550 is 311850

GCF of denominators i.e. for 28,38,828 is 2.

Thus, LCM of Fractions is 155925.Finally, LCM of Fractions for 378/28, 810/38, 550/828 is 155925.