Least Common Multiple of 340/64, 174/2880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/64, 174/2880 quickly i.e. 29580/64 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/64, 174/2880 is 29580/64.

LCM(340/64, 174/2880) = 29580/64

LCM of 340/64, 174/2880

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 340/64,174/2880

Given numbers are 340/64,174/2880

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 340,174

Least Common Multiple of Numerators i.e. LCM of 340,174 is 29580.

GCF of Denominators means GCF of 64,2880 as per the given fractions.

GCF of 64,2880 is 64 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,174

LCM of Fractions 340/64,174/2880 is 29580/64

2 340, 174
170, 87

∴ So the LCM of the given numbers is 2 x 170 x 87 = 29580

Least Common Multiple of 340,174 with GCF Formula

Least Common Multiple of 340,174 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 340,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,174) = 2

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

GCF(340,174) x common factors =2 x 1 = 2

LCM(340,174) = ( 340 × 174 ) / 2

LCM(340,174) = 59160 / 2

LCM(340,174) = 29580


Lets's calculate GCF of 64,2880

2 64, 2880
2 32, 1440
2 16, 720
2 8, 360
2 4, 180
2 2, 90
1, 45

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29580/64

Therefore the LCM of Fractions 340/64,174/2880 is 29580/64

Greatest Common Factor of 64,2880 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,2880 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880

Greatest Common Factor

We found the factors 64,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2880 is 64.


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 340/64, 174/2880

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 340/64, 174/2880?

Answer: LCM of Numerators as per given numbers 340/64, 174/2880 is

LCM of Numerators i.e. for 340,174 is 29580

GCF of denominators i.e. for 64,2880 is 64.

Thus, LCM of Fractions is 29580/64.Finally, LCM of Fractions for 340/64, 174/2880 is 29580/64.