Least Common Multiple of 39/683, 61/482, 920/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/683, 61/482, 920/896 quickly i.e. 2188680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/683, 61/482, 920/896 is 2188680.

LCM(39/683, 61/482, 920/896) = 2188680

LCM of 39/683, 61/482, 920/896

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 39/683,61/482,920/896

Given numbers are 39/683,61/482,920/896

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 39,61,920

Least Common Multiple of Numerators i.e. LCM of 39,61,920 is 2188680.

GCF of Denominators means GCF of 683,482,896 as per the given fractions.

GCF of 683,482,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,61,920

LCM of Fractions 39/683,61/482,920/896 is 2188680

Given numbers has no common factors except 1. So, there LCM is their product i.e 2188680

Least Common Multiple of 39,61,920 with GCF Formula

Least Common Multiple of 39,61,920 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 39,61,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,61,920) = 1

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

GCF(39,61,920) x common factors =1 x 1 = 1

LCM(39,61,920) = ( 39 × 61 × 920 ) / 1

LCM(39,61,920) = 2188680 / 1

LCM(39,61,920) = 2188680


Lets's calculate GCF of 683,482,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2188680/1

Therefore the LCM of Fractions 39/683,61/482,920/896 is 2188680

Greatest Common Factor of 683,482,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,482,896 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 683,482,896 . The biggest common factor number is the GCF number.
So the greatest common factor 683,482,896 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 39/683, 61/482, 920/896

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 39/683, 61/482, 920/896?

Answer: LCM of Numerators as per given numbers 39/683, 61/482, 920/896 is

LCM of Numerators i.e. for 39,61,920 is 2188680

GCF of denominators i.e. for 683,482,896 is 1.

Thus, LCM of Fractions is 2188680.Finally, LCM of Fractions for 39/683, 61/482, 920/896 is 2188680.