Least Common Multiple of 153/67, 256/3702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 153/67, 256/3702 quickly i.e. 39168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/67, 256/3702 is 39168.

LCM(153/67, 256/3702) = 39168

LCM of 153/67, 256/3702

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 153/67,256/3702

Given numbers are 153/67,256/3702

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 153,256

Least Common Multiple of Numerators i.e. LCM of 153,256 is 39168.

GCF of Denominators means GCF of 67,3702 as per the given fractions.

GCF of 67,3702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,256

LCM of Fractions 153/67,256/3702 is 39168

Given numbers has no common factors except 1. So, there LCM is their product i.e 39168

Least Common Multiple of 153,256 with GCF Formula

Least Common Multiple of 153,256 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 153,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,256) = 1

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

GCF(153,256) x common factors =1 x 1 = 1

LCM(153,256) = ( 153 × 256 ) / 1

LCM(153,256) = 39168 / 1

LCM(153,256) = 39168


Lets's calculate GCF of 67,3702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39168/1

Therefore the LCM of Fractions 153/67,256/3702 is 39168

Greatest Common Factor of 67,3702 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,3702 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1,2,3,6,617,1234,1851,3702

Greatest Common Factor

We found the factors 67,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 67,3702 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 153/67, 256/3702

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 153/67, 256/3702?

Answer: LCM of Numerators as per given numbers 153/67, 256/3702 is

LCM of Numerators i.e. for 153,256 is 39168

GCF of denominators i.e. for 67,3702 is 1.

Thus, LCM of Fractions is 39168.Finally, LCM of Fractions for 153/67, 256/3702 is 39168.