Least Common Multiple of 300/56, 314/7600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/56, 314/7600 quickly i.e. 47100/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/56, 314/7600 is 47100/8.

LCM(300/56, 314/7600) = 47100/8

LCM of 300/56, 314/7600

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 300/56,314/7600

Given numbers are 300/56,314/7600

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 300,314

Least Common Multiple of Numerators i.e. LCM of 300,314 is 47100.

GCF of Denominators means GCF of 56,7600 as per the given fractions.

GCF of 56,7600 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,314

LCM of Fractions 300/56,314/7600 is 47100/8

2 300, 314
150, 157

∴ So the LCM of the given numbers is 2 x 150 x 157 = 47100

Least Common Multiple of 300,314 with GCF Formula

Least Common Multiple of 300,314 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 300,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,314) = 2

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

GCF(300,314) x common factors =2 x 1 = 2

LCM(300,314) = ( 300 × 314 ) / 2

LCM(300,314) = 94200 / 2

LCM(300,314) = 47100


Lets's calculate GCF of 56,7600

2 56, 7600
2 28, 3800
2 14, 1900
7, 950

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47100/8

Therefore the LCM of Fractions 300/56,314/7600 is 47100/8

Greatest Common Factor of 56,7600 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,7600 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600

Greatest Common Factor

We found the factors 56,7600 . The biggest common factor number is the GCF number.
So the greatest common factor 56,7600 is 8.


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 300/56, 314/7600

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 300/56, 314/7600?

Answer: LCM of Numerators as per given numbers 300/56, 314/7600 is

LCM of Numerators i.e. for 300,314 is 47100

GCF of denominators i.e. for 56,7600 is 8.

Thus, LCM of Fractions is 47100/8.Finally, LCM of Fractions for 300/56, 314/7600 is 47100/8.