Least Common Multiple of 38/336, 5370/4175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/336, 5370/4175 quickly i.e. 102030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/336, 5370/4175 is 102030.

LCM(38/336, 5370/4175) = 102030

LCM of 38/336, 5370/4175

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 38/336,5370/4175

Given numbers are 38/336,5370/4175

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 38,5370

Least Common Multiple of Numerators i.e. LCM of 38,5370 is 102030.

GCF of Denominators means GCF of 336,4175 as per the given fractions.

GCF of 336,4175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,5370

LCM of Fractions 38/336,5370/4175 is 102030

2 38, 5370
19, 2685

∴ So the LCM of the given numbers is 2 x 19 x 2685 = 102030

Least Common Multiple of 38,5370 with GCF Formula

Least Common Multiple of 38,5370 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 38,5370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5370) = 2

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

GCF(38,5370) x common factors =2 x 1 = 2

LCM(38,5370) = ( 38 × 5370 ) / 2

LCM(38,5370) = 204060 / 2

LCM(38,5370) = 102030


Lets's calculate GCF of 336,4175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102030/1

Therefore the LCM of Fractions 38/336,5370/4175 is 102030

Greatest Common Factor of 336,4175 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,4175 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Greatest Common Factor

We found the factors 336,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 336,4175 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 38/336, 5370/4175

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 38/336, 5370/4175?

Answer: LCM of Numerators as per given numbers 38/336, 5370/4175 is

LCM of Numerators i.e. for 38,5370 is 102030

GCF of denominators i.e. for 336,4175 is 1.

Thus, LCM of Fractions is 102030.Finally, LCM of Fractions for 38/336, 5370/4175 is 102030.