Least Common Multiple of 328/708, 2450/7147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/708, 2450/7147 quickly i.e. 401800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/708, 2450/7147 is 401800.

LCM(328/708, 2450/7147) = 401800

LCM of 328/708, 2450/7147

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 328/708,2450/7147

Given numbers are 328/708,2450/7147

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 328,2450

Least Common Multiple of Numerators i.e. LCM of 328,2450 is 401800.

GCF of Denominators means GCF of 708,7147 as per the given fractions.

GCF of 708,7147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,2450

LCM of Fractions 328/708,2450/7147 is 401800

2 328, 2450
164, 1225

∴ So the LCM of the given numbers is 2 x 164 x 1225 = 401800

Least Common Multiple of 328,2450 with GCF Formula

Least Common Multiple of 328,2450 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 328,2450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,2450) = 2

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

GCF(328,2450) x common factors =2 x 1 = 2

LCM(328,2450) = ( 328 × 2450 ) / 2

LCM(328,2450) = 803600 / 2

LCM(328,2450) = 401800


Lets's calculate GCF of 708,7147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401800/1

Therefore the LCM of Fractions 328/708,2450/7147 is 401800

Greatest Common Factor of 708,7147 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,7147 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors 708,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 708,7147 is 1.


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 328/708, 2450/7147

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 328/708, 2450/7147?

Answer: LCM of Numerators as per given numbers 328/708, 2450/7147 is

LCM of Numerators i.e. for 328,2450 is 401800

GCF of denominators i.e. for 708,7147 is 1.

Thus, LCM of Fractions is 401800.Finally, LCM of Fractions for 328/708, 2450/7147 is 401800.