Least Common Multiple of 377/46, 578/92, 828/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/46, 578/92, 828/576 quickly i.e. 45106542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/46, 578/92, 828/576 is 45106542.

LCM(377/46, 578/92, 828/576) = 45106542

LCM of 377/46, 578/92, 828/576

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 377/46,578/92,828/576

Given numbers are 377/46,578/92,828/576

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 377,578,828

Least Common Multiple of Numerators i.e. LCM of 377,578,828 is 90213084.

GCF of Denominators means GCF of 46,92,576 as per the given fractions.

GCF of 46,92,576 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,578,828

LCM of Fractions 377/46,578/92,828/576 is 45106542

2 377, 578, 828
377, 289, 414

∴ So the LCM of the given numbers is 2 x 377 x 289 x 414 = 90213084

Least Common Multiple of 377,578,828 with GCF Formula

Least Common Multiple of 377,578,828 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 377,578,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,578,828) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(377,578,828) x common factors =1 x 2 = 2

LCM(377,578,828) = ( 377 × 578 × 828 ) / 2

LCM(377,578,828) = 180426168 / 2

LCM(377,578,828) = 90213084


Lets's calculate GCF of 46,92,576

2 46, 92, 576
23, 46, 288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90213084/2

Therefore the LCM of Fractions 377/46,578/92,828/576 is 45106542

Greatest Common Factor of 46,92,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,92,576 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 46,92,576 . The biggest common factor number is the GCF number.
So the greatest common factor 46,92,576 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 377/46, 578/92, 828/576

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 377/46, 578/92, 828/576?

Answer: LCM of Numerators as per given numbers 377/46, 578/92, 828/576 is

LCM of Numerators i.e. for 377,578,828 is 90213084

GCF of denominators i.e. for 46,92,576 is 2.

Thus, LCM of Fractions is 45106542.Finally, LCM of Fractions for 377/46, 578/92, 828/576 is 45106542.