Least Common Multiple of 852/141, 664/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/141, 664/423 quickly i.e. 141432/141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/141, 664/423 is 141432/141.

LCM(852/141, 664/423) = 141432/141

LCM of 852/141, 664/423

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 852/141,664/423

Given numbers are 852/141,664/423

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 852,664

Least Common Multiple of Numerators i.e. LCM of 852,664 is 141432.

GCF of Denominators means GCF of 141,423 as per the given fractions.

GCF of 141,423 is 141 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,664

LCM of Fractions 852/141,664/423 is 141432/141

2 852, 664
2 426, 332
213, 166

∴ So the LCM of the given numbers is 2 x 2 x 213 x 166 = 141432

Least Common Multiple of 852,664 with GCF Formula

Least Common Multiple of 852,664 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 852,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,664) = 4

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

GCF(852,664) x common factors =4 x 1 = 4

LCM(852,664) = ( 852 × 664 ) / 4

LCM(852,664) = 565728 / 4

LCM(852,664) = 141432


Lets's calculate GCF of 141,423

3 141, 423
47 47, 141
1, 3

∴ So the GCF of the given numbers is 3 x 47 = 141

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141432/141

Therefore the LCM of Fractions 852/141,664/423 is 141432/141

Greatest Common Factor of 141,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,423 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 141,423 . The biggest common factor number is the GCF number.
So the greatest common factor 141,423 is 141.


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 852/141, 664/423

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 852/141, 664/423?

Answer: LCM of Numerators as per given numbers 852/141, 664/423 is

LCM of Numerators i.e. for 852,664 is 141432

GCF of denominators i.e. for 141,423 is 141.

Thus, LCM of Fractions is 141432/141.Finally, LCM of Fractions for 852/141, 664/423 is 141432/141.