Least Common Multiple of 2740/840, 3436/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2740/840, 3436/480 quickly i.e. 2353660/120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2740/840, 3436/480 is 2353660/120.

LCM(2740/840, 3436/480) = 2353660/120

LCM of 2740/840, 3436/480

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 2740/840,3436/480

Given numbers are 2740/840,3436/480

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 2740,3436

Least Common Multiple of Numerators i.e. LCM of 2740,3436 is 2353660.

GCF of Denominators means GCF of 840,480 as per the given fractions.

GCF of 840,480 is 120 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2740,3436

LCM of Fractions 2740/840,3436/480 is 2353660/120

2 2740, 3436
2 1370, 1718
685, 859

∴ So the LCM of the given numbers is 2 x 2 x 685 x 859 = 2353660

Least Common Multiple of 2740,3436 with GCF Formula

Least Common Multiple of 2740,3436 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 2740,3436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2740,3436) = 4

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

GCF(2740,3436) x common factors =4 x 1 = 4

LCM(2740,3436) = ( 2740 × 3436 ) / 4

LCM(2740,3436) = 9414640 / 4

LCM(2740,3436) = 2353660


Lets's calculate GCF of 840,480

2 840, 480
2 420, 240
2 210, 120
3 105, 60
5 35, 20
7, 4

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2353660/120

Therefore the LCM of Fractions 2740/840,3436/480 is 2353660/120

Greatest Common Factor of 840,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,480 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

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

Greatest Common Factor

We found the factors 840,480 . The biggest common factor number is the GCF number.
So the greatest common factor 840,480 is 120.


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 2740/840, 3436/480

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 2740/840, 3436/480?

Answer: LCM of Numerators as per given numbers 2740/840, 3436/480 is

LCM of Numerators i.e. for 2740,3436 is 2353660

GCF of denominators i.e. for 840,480 is 120.

Thus, LCM of Fractions is 2353660/120.Finally, LCM of Fractions for 2740/840, 3436/480 is 2353660/120.