Least Common Multiple of 76/208, 1734/6240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/208, 1734/6240 quickly i.e. 65892/208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/208, 1734/6240 is 65892/208.

LCM(76/208, 1734/6240) = 65892/208

LCM of 76/208, 1734/6240

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 76/208,1734/6240

Given numbers are 76/208,1734/6240

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 76,1734

Least Common Multiple of Numerators i.e. LCM of 76,1734 is 65892.

GCF of Denominators means GCF of 208,6240 as per the given fractions.

GCF of 208,6240 is 208 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,1734

LCM of Fractions 76/208,1734/6240 is 65892/208

2 76, 1734
38, 867

∴ So the LCM of the given numbers is 2 x 38 x 867 = 65892

Least Common Multiple of 76,1734 with GCF Formula

Least Common Multiple of 76,1734 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 76,1734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1734) = 2

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

GCF(76,1734) x common factors =2 x 1 = 2

LCM(76,1734) = ( 76 × 1734 ) / 2

LCM(76,1734) = 131784 / 2

LCM(76,1734) = 65892


Lets's calculate GCF of 208,6240

2 208, 6240
2 104, 3120
2 52, 1560
2 26, 780
13 13, 390
1, 30

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 13 = 208

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65892/208

Therefore the LCM of Fractions 76/208,1734/6240 is 65892/208

Greatest Common Factor of 208,6240 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,6240 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240

Greatest Common Factor

We found the factors 208,6240 . The biggest common factor number is the GCF number.
So the greatest common factor 208,6240 is 208.


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 76/208, 1734/6240

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 76/208, 1734/6240?

Answer: LCM of Numerators as per given numbers 76/208, 1734/6240 is

LCM of Numerators i.e. for 76,1734 is 65892

GCF of denominators i.e. for 208,6240 is 208.

Thus, LCM of Fractions is 65892/208.Finally, LCM of Fractions for 76/208, 1734/6240 is 65892/208.