Least Common Multiple of 214/47, 952/14, 828/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/47, 952/14, 828/869 quickly i.e. 21085848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/47, 952/14, 828/869 is 21085848.

LCM(214/47, 952/14, 828/869) = 21085848

LCM of 214/47, 952/14, 828/869

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 214/47,952/14,828/869

Given numbers are 214/47,952/14,828/869

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 214,952,828

Least Common Multiple of Numerators i.e. LCM of 214,952,828 is 21085848.

GCF of Denominators means GCF of 47,14,869 as per the given fractions.

GCF of 47,14,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,952,828

LCM of Fractions 214/47,952/14,828/869 is 21085848

2 214, 952, 828
2 107, 476, 414
107, 238, 207

∴ So the LCM of the given numbers is 2 x 2 x 107 x 238 x 207 = 21085848

Least Common Multiple of 214,952,828 with GCF Formula

Least Common Multiple of 214,952,828 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 214,952,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,952,828) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(214,952,828) x common factors =2 x 4 = 8

LCM(214,952,828) = ( 214 × 952 × 828 ) / 8

LCM(214,952,828) = 168686784 / 8

LCM(214,952,828) = 21085848


Lets's calculate GCF of 47,14,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21085848/1

Therefore the LCM of Fractions 214/47,952/14,828/869 is 21085848

Greatest Common Factor of 47,14,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,14,869 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 47,14,869 . The biggest common factor number is the GCF number.
So the greatest common factor 47,14,869 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 214/47, 952/14, 828/869

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 214/47, 952/14, 828/869?

Answer: LCM of Numerators as per given numbers 214/47, 952/14, 828/869 is

LCM of Numerators i.e. for 214,952,828 is 21085848

GCF of denominators i.e. for 47,14,869 is 1.

Thus, LCM of Fractions is 21085848.Finally, LCM of Fractions for 214/47, 952/14, 828/869 is 21085848.