Least Common Multiple of 55/682, 893/835, 414/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/682, 893/835, 414/306 quickly i.e. 20333610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/682, 893/835, 414/306 is 20333610.

LCM(55/682, 893/835, 414/306) = 20333610

LCM of 55/682, 893/835, 414/306

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 55/682,893/835,414/306

Given numbers are 55/682,893/835,414/306

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 55,893,414

Least Common Multiple of Numerators i.e. LCM of 55,893,414 is 20333610.

GCF of Denominators means GCF of 682,835,306 as per the given fractions.

GCF of 682,835,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,893,414

LCM of Fractions 55/682,893/835,414/306 is 20333610

Given numbers has no common factors except 1. So, there LCM is their product i.e 20333610

Least Common Multiple of 55,893,414 with GCF Formula

Least Common Multiple of 55,893,414 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 55,893,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,893,414) = 1

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

GCF(55,893,414) x common factors =1 x 1 = 1

LCM(55,893,414) = ( 55 × 893 × 414 ) / 1

LCM(55,893,414) = 20333610 / 1

LCM(55,893,414) = 20333610


Lets's calculate GCF of 682,835,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20333610/1

Therefore the LCM of Fractions 55/682,893/835,414/306 is 20333610

Greatest Common Factor of 682,835,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,835,306 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 682,835,306 . The biggest common factor number is the GCF number.
So the greatest common factor 682,835,306 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 55/682, 893/835, 414/306

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 55/682, 893/835, 414/306?

Answer: LCM of Numerators as per given numbers 55/682, 893/835, 414/306 is

LCM of Numerators i.e. for 55,893,414 is 20333610

GCF of denominators i.e. for 682,835,306 is 1.

Thus, LCM of Fractions is 20333610.Finally, LCM of Fractions for 55/682, 893/835, 414/306 is 20333610.