Least Common Multiple of 55/375, 46/590, 851/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/375, 46/590, 851/805 quickly i.e. 18722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/375, 46/590, 851/805 is 18722.

LCM(55/375, 46/590, 851/805) = 18722

LCM of 55/375, 46/590, 851/805

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 55/375,46/590,851/805

Given numbers are 55/375,46/590,851/805

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 55,46,851

Least Common Multiple of Numerators i.e. LCM of 55,46,851 is 93610.

GCF of Denominators means GCF of 375,590,805 as per the given fractions.

GCF of 375,590,805 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,46,851

LCM of Fractions 55/375,46/590,851/805 is 18722

23 55, 46, 851
55, 2, 37

∴ So the LCM of the given numbers is 23 x 55 x 2 x 37 = 93610

Least Common Multiple of 55,46,851 with GCF Formula

Least Common Multiple of 55,46,851 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 55,46,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,46,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(55,46,851) x common factors =1 x 23 = 23

LCM(55,46,851) = ( 55 × 46 × 851 ) / 23

LCM(55,46,851) = 2153030 / 23

LCM(55,46,851) = 93610


Lets's calculate GCF of 375,590,805

5 375, 590, 805
75, 118, 161

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93610/5

Therefore the LCM of Fractions 55/375,46/590,851/805 is 18722

Greatest Common Factor of 375,590,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,590,805 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 375,590,805 . The biggest common factor number is the GCF number.
So the greatest common factor 375,590,805 is 5.


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 55/375, 46/590, 851/805

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 55/375, 46/590, 851/805?

Answer: LCM of Numerators as per given numbers 55/375, 46/590, 851/805 is

LCM of Numerators i.e. for 55,46,851 is 93610

GCF of denominators i.e. for 375,590,805 is 5.

Thus, LCM of Fractions is 18722.Finally, LCM of Fractions for 55/375, 46/590, 851/805 is 18722.