Least Common Multiple of 882/851, 772/153, 441/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/851, 772/153, 441/565 quickly i.e. 340452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/851, 772/153, 441/565 is 340452.

LCM(882/851, 772/153, 441/565) = 340452

LCM of 882/851, 772/153, 441/565

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 882/851,772/153,441/565

Given numbers are 882/851,772/153,441/565

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 882,772,441

Least Common Multiple of Numerators i.e. LCM of 882,772,441 is 340452.

GCF of Denominators means GCF of 851,153,565 as per the given fractions.

GCF of 851,153,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,772,441

LCM of Fractions 882/851,772/153,441/565 is 340452

2 882, 772, 441
3 441, 386, 441
3 147, 386, 147
7 49, 386, 49
7 7, 386, 7
1, 386, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 7 x 1 x 386 x 1 = 340452

Least Common Multiple of 882,772,441 with GCF Formula

Least Common Multiple of 882,772,441 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 882,772,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,772,441) = 1

common factors(in case of two or more numbers have common factors) = 882

GCF(882,772,441) x common factors =1 x 882 = 882

LCM(882,772,441) = ( 882 × 772 × 441 ) / 882

LCM(882,772,441) = 300278664 / 882

LCM(882,772,441) = 340452


Lets's calculate GCF of 851,153,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340452/1

Therefore the LCM of Fractions 882/851,772/153,441/565 is 340452

Greatest Common Factor of 851,153,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,153,565 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 851,153,565 . The biggest common factor number is the GCF number.
So the greatest common factor 851,153,565 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 882/851, 772/153, 441/565

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 882/851, 772/153, 441/565?

Answer: LCM of Numerators as per given numbers 882/851, 772/153, 441/565 is

LCM of Numerators i.e. for 882,772,441 is 340452

GCF of denominators i.e. for 851,153,565 is 1.

Thus, LCM of Fractions is 340452.Finally, LCM of Fractions for 882/851, 772/153, 441/565 is 340452.