Least Common Multiple of 55/430, 8629/6794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/430, 8629/6794 quickly i.e. 474595/86 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/430, 8629/6794 is 474595/86.

LCM(55/430, 8629/6794) = 474595/86

LCM of 55/430, 8629/6794

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 55/430,8629/6794

Given numbers are 55/430,8629/6794

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 55,8629

Least Common Multiple of Numerators i.e. LCM of 55,8629 is 474595.

GCF of Denominators means GCF of 430,6794 as per the given fractions.

GCF of 430,6794 is 86 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,8629

LCM of Fractions 55/430,8629/6794 is 474595/86

Given numbers has no common factors except 1. So, there LCM is their product i.e 474595

Least Common Multiple of 55,8629 with GCF Formula

Least Common Multiple of 55,8629 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 55,8629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,8629) = 1

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

GCF(55,8629) x common factors =1 x 1 = 1

LCM(55,8629) = ( 55 × 8629 ) / 1

LCM(55,8629) = 474595 / 1

LCM(55,8629) = 474595


Lets's calculate GCF of 430,6794

2 430, 6794
43 215, 3397
5, 79

∴ So the GCF of the given numbers is 2 x 43 = 86

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474595/86

Therefore the LCM of Fractions 55/430,8629/6794 is 474595/86

Greatest Common Factor of 430,6794 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,6794 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1,2,43,79,86,158,3397,6794

Greatest Common Factor

We found the factors 430,6794 . The biggest common factor number is the GCF number.
So the greatest common factor 430,6794 is 86.


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 55/430, 8629/6794

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 55/430, 8629/6794?

Answer: LCM of Numerators as per given numbers 55/430, 8629/6794 is

LCM of Numerators i.e. for 55,8629 is 474595

GCF of denominators i.e. for 430,6794 is 86.

Thus, LCM of Fractions is 474595/86.Finally, LCM of Fractions for 55/430, 8629/6794 is 474595/86.