Least Common Multiple of 55/689, 67/484, 802/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/689, 67/484, 802/256 quickly i.e. 2955370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/689, 67/484, 802/256 is 2955370.

LCM(55/689, 67/484, 802/256) = 2955370

LCM of 55/689, 67/484, 802/256

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 55/689,67/484,802/256

Given numbers are 55/689,67/484,802/256

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 55,67,802

Least Common Multiple of Numerators i.e. LCM of 55,67,802 is 2955370.

GCF of Denominators means GCF of 689,484,256 as per the given fractions.

GCF of 689,484,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,67,802

LCM of Fractions 55/689,67/484,802/256 is 2955370

Given numbers has no common factors except 1. So, there LCM is their product i.e 2955370

Least Common Multiple of 55,67,802 with GCF Formula

Least Common Multiple of 55,67,802 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 55,67,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,67,802) = 1

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

GCF(55,67,802) x common factors =1 x 1 = 1

LCM(55,67,802) = ( 55 × 67 × 802 ) / 1

LCM(55,67,802) = 2955370 / 1

LCM(55,67,802) = 2955370


Lets's calculate GCF of 689,484,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2955370/1

Therefore the LCM of Fractions 55/689,67/484,802/256 is 2955370

Greatest Common Factor of 689,484,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,484,256 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 689,484,256 . The biggest common factor number is the GCF number.
So the greatest common factor 689,484,256 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 55/689, 67/484, 802/256

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 55/689, 67/484, 802/256?

Answer: LCM of Numerators as per given numbers 55/689, 67/484, 802/256 is

LCM of Numerators i.e. for 55,67,802 is 2955370

GCF of denominators i.e. for 689,484,256 is 1.

Thus, LCM of Fractions is 2955370.Finally, LCM of Fractions for 55/689, 67/484, 802/256 is 2955370.