Least Common Multiple of 9504/142, 6076/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9504/142, 6076/614 quickly i.e. 7218288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9504/142, 6076/614 is 7218288.

LCM(9504/142, 6076/614) = 7218288

LCM of 9504/142, 6076/614

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 9504/142,6076/614

Given numbers are 9504/142,6076/614

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 9504,6076

Least Common Multiple of Numerators i.e. LCM of 9504,6076 is 14436576.

GCF of Denominators means GCF of 142,614 as per the given fractions.

GCF of 142,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9504,6076

LCM of Fractions 9504/142,6076/614 is 7218288

2 9504, 6076
2 4752, 3038
2376, 1519

∴ So the LCM of the given numbers is 2 x 2 x 2376 x 1519 = 14436576

Least Common Multiple of 9504,6076 with GCF Formula

Least Common Multiple of 9504,6076 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 9504,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9504,6076) = 4

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

GCF(9504,6076) x common factors =4 x 1 = 4

LCM(9504,6076) = ( 9504 × 6076 ) / 4

LCM(9504,6076) = 57746304 / 4

LCM(9504,6076) = 14436576


Lets's calculate GCF of 142,614

2 142, 614
71, 307

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14436576/2

Therefore the LCM of Fractions 9504/142,6076/614 is 7218288

Greatest Common Factor of 142,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,614 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 142,614 . The biggest common factor number is the GCF number.
So the greatest common factor 142,614 is 2.


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 9504/142, 6076/614

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 9504/142, 6076/614?

Answer: LCM of Numerators as per given numbers 9504/142, 6076/614 is

LCM of Numerators i.e. for 9504,6076 is 14436576

GCF of denominators i.e. for 142,614 is 2.

Thus, LCM of Fractions is 7218288.Finally, LCM of Fractions for 9504/142, 6076/614 is 7218288.