Least Common Multiple of 214/85, 580/4971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/85, 580/4971 quickly i.e. 62060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/85, 580/4971 is 62060.

LCM(214/85, 580/4971) = 62060

LCM of 214/85, 580/4971

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 214/85,580/4971

Given numbers are 214/85,580/4971

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 214,580

Least Common Multiple of Numerators i.e. LCM of 214,580 is 62060.

GCF of Denominators means GCF of 85,4971 as per the given fractions.

GCF of 85,4971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,580

LCM of Fractions 214/85,580/4971 is 62060

2 214, 580
107, 290

∴ So the LCM of the given numbers is 2 x 107 x 290 = 62060

Least Common Multiple of 214,580 with GCF Formula

Least Common Multiple of 214,580 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 214,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,580) = 2

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

GCF(214,580) x common factors =2 x 1 = 2

LCM(214,580) = ( 214 × 580 ) / 2

LCM(214,580) = 124120 / 2

LCM(214,580) = 62060


Lets's calculate GCF of 85,4971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62060/1

Therefore the LCM of Fractions 214/85,580/4971 is 62060

Greatest Common Factor of 85,4971 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,4971 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1,3,1657,4971

Greatest Common Factor

We found the factors 85,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4971 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 214/85, 580/4971

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 214/85, 580/4971?

Answer: LCM of Numerators as per given numbers 214/85, 580/4971 is

LCM of Numerators i.e. for 214,580 is 62060

GCF of denominators i.e. for 85,4971 is 1.

Thus, LCM of Fractions is 62060.Finally, LCM of Fractions for 214/85, 580/4971 is 62060.