Least Common Multiple of 2340/480, 6988/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2340/480, 6988/345 quickly i.e. 272532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2340/480, 6988/345 is 272532.

LCM(2340/480, 6988/345) = 272532

LCM of 2340/480, 6988/345

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 2340/480,6988/345

Given numbers are 2340/480,6988/345

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 2340,6988

Least Common Multiple of Numerators i.e. LCM of 2340,6988 is 4087980.

GCF of Denominators means GCF of 480,345 as per the given fractions.

GCF of 480,345 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2340,6988

LCM of Fractions 2340/480,6988/345 is 272532

2 2340, 6988
2 1170, 3494
585, 1747

∴ So the LCM of the given numbers is 2 x 2 x 585 x 1747 = 4087980

Least Common Multiple of 2340,6988 with GCF Formula

Least Common Multiple of 2340,6988 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 2340,6988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2340,6988) = 4

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

GCF(2340,6988) x common factors =4 x 1 = 4

LCM(2340,6988) = ( 2340 × 6988 ) / 4

LCM(2340,6988) = 16351920 / 4

LCM(2340,6988) = 4087980


Lets's calculate GCF of 480,345

3 480, 345
5 160, 115
32, 23

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4087980/15

Therefore the LCM of Fractions 2340/480,6988/345 is 272532

Greatest Common Factor of 480,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,345 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 480,345 . The biggest common factor number is the GCF number.
So the greatest common factor 480,345 is 15.


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 2340/480, 6988/345

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 2340/480, 6988/345?

Answer: LCM of Numerators as per given numbers 2340/480, 6988/345 is

LCM of Numerators i.e. for 2340,6988 is 4087980

GCF of denominators i.e. for 480,345 is 15.

Thus, LCM of Fractions is 272532.Finally, LCM of Fractions for 2340/480, 6988/345 is 272532.