Least Common Multiple of 257/634, 7155/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/634, 7155/345 quickly i.e. 1838835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/634, 7155/345 is 1838835.

LCM(257/634, 7155/345) = 1838835

LCM of 257/634, 7155/345

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 257/634,7155/345

Given numbers are 257/634,7155/345

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 257,7155

Least Common Multiple of Numerators i.e. LCM of 257,7155 is 1838835.

GCF of Denominators means GCF of 634,345 as per the given fractions.

GCF of 634,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,7155

LCM of Fractions 257/634,7155/345 is 1838835

Given numbers has no common factors except 1. So, there LCM is their product i.e 1838835

Least Common Multiple of 257,7155 with GCF Formula

Least Common Multiple of 257,7155 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 257,7155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,7155) = 1

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

GCF(257,7155) x common factors =1 x 1 = 1

LCM(257,7155) = ( 257 × 7155 ) / 1

LCM(257,7155) = 1838835 / 1

LCM(257,7155) = 1838835


Lets's calculate GCF of 634,345

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1838835/1

Therefore the LCM of Fractions 257/634,7155/345 is 1838835

Greatest Common Factor of 634,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,345 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 634,345 . The biggest common factor number is the GCF number.
So the greatest common factor 634,345 is 1.


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 257/634, 7155/345

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 257/634, 7155/345?

Answer: LCM of Numerators as per given numbers 257/634, 7155/345 is

LCM of Numerators i.e. for 257,7155 is 1838835

GCF of denominators i.e. for 634,345 is 1.

Thus, LCM of Fractions is 1838835.Finally, LCM of Fractions for 257/634, 7155/345 is 1838835.