Least Common Multiple of 21/211, 45/382, 385/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/211, 45/382, 385/952 quickly i.e. 3465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/211, 45/382, 385/952 is 3465.

LCM(21/211, 45/382, 385/952) = 3465

LCM of 21/211, 45/382, 385/952

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 21/211,45/382,385/952

Given numbers are 21/211,45/382,385/952

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 21,45,385

Least Common Multiple of Numerators i.e. LCM of 21,45,385 is 3465.

GCF of Denominators means GCF of 211,382,952 as per the given fractions.

GCF of 211,382,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,45,385

LCM of Fractions 21/211,45/382,385/952 is 3465

3 21, 45, 385
5 7, 15, 385
7 7, 3, 77
1, 3, 11

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 3 x 11 = 3465

Least Common Multiple of 21,45,385 with GCF Formula

Least Common Multiple of 21,45,385 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 21,45,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,45,385) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(21,45,385) x common factors =1 x 105 = 105

LCM(21,45,385) = ( 21 × 45 × 385 ) / 105

LCM(21,45,385) = 363825 / 105

LCM(21,45,385) = 3465


Lets's calculate GCF of 211,382,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3465/1

Therefore the LCM of Fractions 21/211,45/382,385/952 is 3465

Greatest Common Factor of 211,382,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,382,952 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 211,382,952 . The biggest common factor number is the GCF number.
So the greatest common factor 211,382,952 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 21/211, 45/382, 385/952

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 21/211, 45/382, 385/952?

Answer: LCM of Numerators as per given numbers 21/211, 45/382, 385/952 is

LCM of Numerators i.e. for 21,45,385 is 3465

GCF of denominators i.e. for 211,382,952 is 1.

Thus, LCM of Fractions is 3465.Finally, LCM of Fractions for 21/211, 45/382, 385/952 is 3465.