Least Common Multiple of 38/869, 6050/7478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/869, 6050/7478 quickly i.e. 114950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/869, 6050/7478 is 114950.

LCM(38/869, 6050/7478) = 114950

LCM of 38/869, 6050/7478

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 38/869,6050/7478

Given numbers are 38/869,6050/7478

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 38,6050

Least Common Multiple of Numerators i.e. LCM of 38,6050 is 114950.

GCF of Denominators means GCF of 869,7478 as per the given fractions.

GCF of 869,7478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,6050

LCM of Fractions 38/869,6050/7478 is 114950

2 38, 6050
19, 3025

∴ So the LCM of the given numbers is 2 x 19 x 3025 = 114950

Least Common Multiple of 38,6050 with GCF Formula

Least Common Multiple of 38,6050 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 38,6050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6050) = 2

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

GCF(38,6050) x common factors =2 x 1 = 2

LCM(38,6050) = ( 38 × 6050 ) / 2

LCM(38,6050) = 229900 / 2

LCM(38,6050) = 114950


Lets's calculate GCF of 869,7478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114950/1

Therefore the LCM of Fractions 38/869,6050/7478 is 114950

Greatest Common Factor of 869,7478 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,7478 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1,2,3739,7478

Greatest Common Factor

We found the factors 869,7478 . The biggest common factor number is the GCF number.
So the greatest common factor 869,7478 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/869, 6050/7478

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 38/869, 6050/7478?

Answer: LCM of Numerators as per given numbers 38/869, 6050/7478 is

LCM of Numerators i.e. for 38,6050 is 114950

GCF of denominators i.e. for 869,7478 is 1.

Thus, LCM of Fractions is 114950.Finally, LCM of Fractions for 38/869, 6050/7478 is 114950.