Least Common Multiple of 496/94, 705/56, 365/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/94, 705/56, 365/176 quickly i.e. 12763320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/94, 705/56, 365/176 is 12763320.

LCM(496/94, 705/56, 365/176) = 12763320

LCM of 496/94, 705/56, 365/176

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 496/94,705/56,365/176

Given numbers are 496/94,705/56,365/176

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 496,705,365

Least Common Multiple of Numerators i.e. LCM of 496,705,365 is 25526640.

GCF of Denominators means GCF of 94,56,176 as per the given fractions.

GCF of 94,56,176 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,705,365

LCM of Fractions 496/94,705/56,365/176 is 12763320

5 496, 705, 365
496, 141, 73

∴ So the LCM of the given numbers is 5 x 496 x 141 x 73 = 25526640

Least Common Multiple of 496,705,365 with GCF Formula

Least Common Multiple of 496,705,365 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 496,705,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,705,365) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(496,705,365) x common factors =1 x 5 = 5

LCM(496,705,365) = ( 496 × 705 × 365 ) / 5

LCM(496,705,365) = 127633200 / 5

LCM(496,705,365) = 25526640


Lets's calculate GCF of 94,56,176

2 94, 56, 176
47, 28, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25526640/2

Therefore the LCM of Fractions 496/94,705/56,365/176 is 12763320

Greatest Common Factor of 94,56,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,56,176 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 94,56,176 . The biggest common factor number is the GCF number.
So the greatest common factor 94,56,176 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 496/94, 705/56, 365/176

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 496/94, 705/56, 365/176?

Answer: LCM of Numerators as per given numbers 496/94, 705/56, 365/176 is

LCM of Numerators i.e. for 496,705,365 is 25526640

GCF of denominators i.e. for 94,56,176 is 2.

Thus, LCM of Fractions is 12763320.Finally, LCM of Fractions for 496/94, 705/56, 365/176 is 12763320.