Least Common Multiple of 348/362, 8925/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 348/362, 8925/579 quickly i.e. 1035300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/362, 8925/579 is 1035300.

LCM(348/362, 8925/579) = 1035300

LCM of 348/362, 8925/579

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 348/362,8925/579

Given numbers are 348/362,8925/579

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 348,8925

Least Common Multiple of Numerators i.e. LCM of 348,8925 is 1035300.

GCF of Denominators means GCF of 362,579 as per the given fractions.

GCF of 362,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,8925

LCM of Fractions 348/362,8925/579 is 1035300

3 348, 8925
116, 2975

∴ So the LCM of the given numbers is 3 x 116 x 2975 = 1035300

Least Common Multiple of 348,8925 with GCF Formula

Least Common Multiple of 348,8925 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 348,8925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,8925) = 3

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

GCF(348,8925) x common factors =3 x 1 = 3

LCM(348,8925) = ( 348 × 8925 ) / 3

LCM(348,8925) = 3105900 / 3

LCM(348,8925) = 1035300


Lets's calculate GCF of 362,579

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1035300/1

Therefore the LCM of Fractions 348/362,8925/579 is 1035300

Greatest Common Factor of 362,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,579 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 362,579 . The biggest common factor number is the GCF number.
So the greatest common factor 362,579 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 348/362, 8925/579

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 348/362, 8925/579?

Answer: LCM of Numerators as per given numbers 348/362, 8925/579 is

LCM of Numerators i.e. for 348,8925 is 1035300

GCF of denominators i.e. for 362,579 is 1.

Thus, LCM of Fractions is 1035300.Finally, LCM of Fractions for 348/362, 8925/579 is 1035300.