Least Common Multiple of 55/860, 5900/3089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/860, 5900/3089 quickly i.e. 64900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/860, 5900/3089 is 64900.

LCM(55/860, 5900/3089) = 64900

LCM of 55/860, 5900/3089

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 55/860,5900/3089

Given numbers are 55/860,5900/3089

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 55,5900

Least Common Multiple of Numerators i.e. LCM of 55,5900 is 64900.

GCF of Denominators means GCF of 860,3089 as per the given fractions.

GCF of 860,3089 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,5900

LCM of Fractions 55/860,5900/3089 is 64900

5 55, 5900
11, 1180

∴ So the LCM of the given numbers is 5 x 11 x 1180 = 64900

Least Common Multiple of 55,5900 with GCF Formula

Least Common Multiple of 55,5900 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 55,5900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,5900) = 5

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

GCF(55,5900) x common factors =5 x 1 = 5

LCM(55,5900) = ( 55 × 5900 ) / 5

LCM(55,5900) = 324500 / 5

LCM(55,5900) = 64900


Lets's calculate GCF of 860,3089

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64900/1

Therefore the LCM of Fractions 55/860,5900/3089 is 64900

Greatest Common Factor of 860,3089 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,3089 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 3089

List of positive integer factors of 3089 that divides 3089 without a remainder.

1,3089

Greatest Common Factor

We found the factors 860,3089 . The biggest common factor number is the GCF number.
So the greatest common factor 860,3089 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/860, 5900/3089

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 55/860, 5900/3089?

Answer: LCM of Numerators as per given numbers 55/860, 5900/3089 is

LCM of Numerators i.e. for 55,5900 is 64900

GCF of denominators i.e. for 860,3089 is 1.

Thus, LCM of Fractions is 64900.Finally, LCM of Fractions for 55/860, 5900/3089 is 64900.