Least Common Multiple of 148/574, 8158/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/574, 8158/660 quickly i.e. 301846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/574, 8158/660 is 301846.

LCM(148/574, 8158/660) = 301846

LCM of 148/574, 8158/660

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 148/574,8158/660

Given numbers are 148/574,8158/660

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 148,8158

Least Common Multiple of Numerators i.e. LCM of 148,8158 is 603692.

GCF of Denominators means GCF of 574,660 as per the given fractions.

GCF of 574,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,8158

LCM of Fractions 148/574,8158/660 is 301846

2 148, 8158
74, 4079

∴ So the LCM of the given numbers is 2 x 74 x 4079 = 603692

Least Common Multiple of 148,8158 with GCF Formula

Least Common Multiple of 148,8158 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 148,8158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,8158) = 2

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

GCF(148,8158) x common factors =2 x 1 = 2

LCM(148,8158) = ( 148 × 8158 ) / 2

LCM(148,8158) = 1207384 / 2

LCM(148,8158) = 603692


Lets's calculate GCF of 574,660

2 574, 660
287, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603692/2

Therefore the LCM of Fractions 148/574,8158/660 is 301846

Greatest Common Factor of 574,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,660 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 574,660 . The biggest common factor number is the GCF number.
So the greatest common factor 574,660 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 148/574, 8158/660

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 148/574, 8158/660?

Answer: LCM of Numerators as per given numbers 148/574, 8158/660 is

LCM of Numerators i.e. for 148,8158 is 603692

GCF of denominators i.e. for 574,660 is 2.

Thus, LCM of Fractions is 301846.Finally, LCM of Fractions for 148/574, 8158/660 is 301846.