Least Common Multiple of 214/11, 820/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/11, 820/210 quickly i.e. 87740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/11, 820/210 is 87740.

LCM(214/11, 820/210) = 87740

LCM of 214/11, 820/210

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 214/11,820/210

Given numbers are 214/11,820/210

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 214,820

Least Common Multiple of Numerators i.e. LCM of 214,820 is 87740.

GCF of Denominators means GCF of 11,210 as per the given fractions.

GCF of 11,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,820

LCM of Fractions 214/11,820/210 is 87740

2 214, 820
107, 410

∴ So the LCM of the given numbers is 2 x 107 x 410 = 87740

Least Common Multiple of 214,820 with GCF Formula

Least Common Multiple of 214,820 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 214,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,820) = 2

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

GCF(214,820) x common factors =2 x 1 = 2

LCM(214,820) = ( 214 × 820 ) / 2

LCM(214,820) = 175480 / 2

LCM(214,820) = 87740


Lets's calculate GCF of 11,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87740/1

Therefore the LCM of Fractions 214/11,820/210 is 87740

Greatest Common Factor of 11,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,210 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 11,210 . The biggest common factor number is the GCF number.
So the greatest common factor 11,210 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 214/11, 820/210

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 214/11, 820/210?

Answer: LCM of Numerators as per given numbers 214/11, 820/210 is

LCM of Numerators i.e. for 214,820 is 87740

GCF of denominators i.e. for 11,210 is 1.

Thus, LCM of Fractions is 87740.Finally, LCM of Fractions for 214/11, 820/210 is 87740.