Least Common Multiple of 177/704, 3074/4002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/704, 3074/4002 quickly i.e. 272049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/704, 3074/4002 is 272049.

LCM(177/704, 3074/4002) = 272049

LCM of 177/704, 3074/4002

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 177/704,3074/4002

Given numbers are 177/704,3074/4002

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 177,3074

Least Common Multiple of Numerators i.e. LCM of 177,3074 is 544098.

GCF of Denominators means GCF of 704,4002 as per the given fractions.

GCF of 704,4002 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,3074

LCM of Fractions 177/704,3074/4002 is 272049

Given numbers has no common factors except 1. So, there LCM is their product i.e 544098

Least Common Multiple of 177,3074 with GCF Formula

Least Common Multiple of 177,3074 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 177,3074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,3074) = 1

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

GCF(177,3074) x common factors =1 x 1 = 1

LCM(177,3074) = ( 177 × 3074 ) / 1

LCM(177,3074) = 544098 / 1

LCM(177,3074) = 544098


Lets's calculate GCF of 704,4002

2 704, 4002
352, 2001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544098/2

Therefore the LCM of Fractions 177/704,3074/4002 is 272049

Greatest Common Factor of 704,4002 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,4002 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Greatest Common Factor

We found the factors 704,4002 . The biggest common factor number is the GCF number.
So the greatest common factor 704,4002 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 177/704, 3074/4002

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 177/704, 3074/4002?

Answer: LCM of Numerators as per given numbers 177/704, 3074/4002 is

LCM of Numerators i.e. for 177,3074 is 544098

GCF of denominators i.e. for 704,4002 is 2.

Thus, LCM of Fractions is 272049.Finally, LCM of Fractions for 177/704, 3074/4002 is 272049.