Least Common Multiple of 2354/300, 1574/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2354/300, 1574/788 quickly i.e. 1852598/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2354/300, 1574/788 is 1852598/4.

LCM(2354/300, 1574/788) = 1852598/4

LCM of 2354/300, 1574/788

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 2354/300,1574/788

Given numbers are 2354/300,1574/788

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 2354,1574

Least Common Multiple of Numerators i.e. LCM of 2354,1574 is 1852598.

GCF of Denominators means GCF of 300,788 as per the given fractions.

GCF of 300,788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2354,1574

LCM of Fractions 2354/300,1574/788 is 1852598/4

2 2354, 1574
1177, 787

∴ So the LCM of the given numbers is 2 x 1177 x 787 = 1852598

Least Common Multiple of 2354,1574 with GCF Formula

Least Common Multiple of 2354,1574 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 2354,1574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2354,1574) = 2

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

GCF(2354,1574) x common factors =2 x 1 = 2

LCM(2354,1574) = ( 2354 × 1574 ) / 2

LCM(2354,1574) = 3705196 / 2

LCM(2354,1574) = 1852598


Lets's calculate GCF of 300,788

2 300, 788
2 150, 394
75, 197

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1852598/4

Therefore the LCM of Fractions 2354/300,1574/788 is 1852598/4

Greatest Common Factor of 300,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,788 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 300,788 . The biggest common factor number is the GCF number.
So the greatest common factor 300,788 is 4.


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 2354/300, 1574/788

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 2354/300, 1574/788?

Answer: LCM of Numerators as per given numbers 2354/300, 1574/788 is

LCM of Numerators i.e. for 2354,1574 is 1852598

GCF of denominators i.e. for 300,788 is 4.

Thus, LCM of Fractions is 1852598/4.Finally, LCM of Fractions for 2354/300, 1574/788 is 1852598/4.