Least Common Multiple of 7744/602, 3731/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7744/602, 3731/175 quickly i.e. 4127552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7744/602, 3731/175 is 4127552.

LCM(7744/602, 3731/175) = 4127552

LCM of 7744/602, 3731/175

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 7744/602,3731/175

Given numbers are 7744/602,3731/175

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 7744,3731

Least Common Multiple of Numerators i.e. LCM of 7744,3731 is 28892864.

GCF of Denominators means GCF of 602,175 as per the given fractions.

GCF of 602,175 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7744,3731

LCM of Fractions 7744/602,3731/175 is 4127552

Given numbers has no common factors except 1. So, there LCM is their product i.e 28892864

Least Common Multiple of 7744,3731 with GCF Formula

Least Common Multiple of 7744,3731 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 7744,3731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7744,3731) = 1

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

GCF(7744,3731) x common factors =1 x 1 = 1

LCM(7744,3731) = ( 7744 × 3731 ) / 1

LCM(7744,3731) = 28892864 / 1

LCM(7744,3731) = 28892864


Lets's calculate GCF of 602,175

7 602, 175
86, 25

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28892864/7

Therefore the LCM of Fractions 7744/602,3731/175 is 4127552

Greatest Common Factor of 602,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,175 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 602,175 . The biggest common factor number is the GCF number.
So the greatest common factor 602,175 is 7.


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 7744/602, 3731/175

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 7744/602, 3731/175?

Answer: LCM of Numerators as per given numbers 7744/602, 3731/175 is

LCM of Numerators i.e. for 7744,3731 is 28892864

GCF of denominators i.e. for 602,175 is 7.

Thus, LCM of Fractions is 4127552.Finally, LCM of Fractions for 7744/602, 3731/175 is 4127552.