Least Common Multiple of 38/252, 7077/7126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/252, 7077/7126 quickly i.e. 19209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/252, 7077/7126 is 19209.

LCM(38/252, 7077/7126) = 19209

LCM of 38/252, 7077/7126

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 38/252,7077/7126

Given numbers are 38/252,7077/7126

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 38,7077

Least Common Multiple of Numerators i.e. LCM of 38,7077 is 268926.

GCF of Denominators means GCF of 252,7126 as per the given fractions.

GCF of 252,7126 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7077

LCM of Fractions 38/252,7077/7126 is 19209

Given numbers has no common factors except 1. So, there LCM is their product i.e 268926

Least Common Multiple of 38,7077 with GCF Formula

Least Common Multiple of 38,7077 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 38,7077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7077) = 1

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

GCF(38,7077) x common factors =1 x 1 = 1

LCM(38,7077) = ( 38 × 7077 ) / 1

LCM(38,7077) = 268926 / 1

LCM(38,7077) = 268926


Lets's calculate GCF of 252,7126

2 252, 7126
7 126, 3563
18, 509

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268926/14

Therefore the LCM of Fractions 38/252,7077/7126 is 19209

Greatest Common Factor of 252,7126 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,7126 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors 252,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 252,7126 is 14.


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 38/252, 7077/7126

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 38/252, 7077/7126?

Answer: LCM of Numerators as per given numbers 38/252, 7077/7126 is

LCM of Numerators i.e. for 38,7077 is 268926

GCF of denominators i.e. for 252,7126 is 14.

Thus, LCM of Fractions is 19209.Finally, LCM of Fractions for 38/252, 7077/7126 is 19209.