Least Common Multiple of 74/600, 1202/6358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/600, 1202/6358 quickly i.e. 22237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/600, 1202/6358 is 22237.

LCM(74/600, 1202/6358) = 22237

LCM of 74/600, 1202/6358

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 74/600,1202/6358

Given numbers are 74/600,1202/6358

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 74,1202

Least Common Multiple of Numerators i.e. LCM of 74,1202 is 44474.

GCF of Denominators means GCF of 600,6358 as per the given fractions.

GCF of 600,6358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,1202

LCM of Fractions 74/600,1202/6358 is 22237

2 74, 1202
37, 601

∴ So the LCM of the given numbers is 2 x 37 x 601 = 44474

Least Common Multiple of 74,1202 with GCF Formula

Least Common Multiple of 74,1202 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 74,1202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,1202) = 2

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

GCF(74,1202) x common factors =2 x 1 = 2

LCM(74,1202) = ( 74 × 1202 ) / 2

LCM(74,1202) = 88948 / 2

LCM(74,1202) = 44474


Lets's calculate GCF of 600,6358

2 600, 6358
300, 3179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44474/2

Therefore the LCM of Fractions 74/600,1202/6358 is 22237

Greatest Common Factor of 600,6358 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,6358 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1,2,11,17,22,34,187,289,374,578,3179,6358

Greatest Common Factor

We found the factors 600,6358 . The biggest common factor number is the GCF number.
So the greatest common factor 600,6358 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 74/600, 1202/6358

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 74/600, 1202/6358?

Answer: LCM of Numerators as per given numbers 74/600, 1202/6358 is

LCM of Numerators i.e. for 74,1202 is 44474

GCF of denominators i.e. for 600,6358 is 2.

Thus, LCM of Fractions is 22237.Finally, LCM of Fractions for 74/600, 1202/6358 is 22237.