Least Common Multiple of 38/235, 37/257, 703/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/235, 37/257, 703/122 quickly i.e. 1406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/235, 37/257, 703/122 is 1406.

LCM(38/235, 37/257, 703/122) = 1406

LCM of 38/235, 37/257, 703/122

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 38/235,37/257,703/122

Given numbers are 38/235,37/257,703/122

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 38,37,703

Least Common Multiple of Numerators i.e. LCM of 38,37,703 is 1406.

GCF of Denominators means GCF of 235,257,122 as per the given fractions.

GCF of 235,257,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,37,703

LCM of Fractions 38/235,37/257,703/122 is 1406

19 38, 37, 703
37 2, 37, 37
2, 1, 1

∴ So the LCM of the given numbers is 19 x 37 x 2 x 1 x 1 = 1406

Least Common Multiple of 38,37,703 with GCF Formula

Least Common Multiple of 38,37,703 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 38,37,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,37,703) = 1

common factors(in case of two or more numbers have common factors) = 703

GCF(38,37,703) x common factors =1 x 703 = 703

LCM(38,37,703) = ( 38 × 37 × 703 ) / 703

LCM(38,37,703) = 988418 / 703

LCM(38,37,703) = 1406


Lets's calculate GCF of 235,257,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1406/1

Therefore the LCM of Fractions 38/235,37/257,703/122 is 1406

Greatest Common Factor of 235,257,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,257,122 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 235,257,122 . The biggest common factor number is the GCF number.
So the greatest common factor 235,257,122 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/235, 37/257, 703/122

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 38/235, 37/257, 703/122?

Answer: LCM of Numerators as per given numbers 38/235, 37/257, 703/122 is

LCM of Numerators i.e. for 38,37,703 is 1406

GCF of denominators i.e. for 235,257,122 is 1.

Thus, LCM of Fractions is 1406.Finally, LCM of Fractions for 38/235, 37/257, 703/122 is 1406.