Least Common Multiple of 832/569, 143/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 832/569, 143/708 quickly i.e. 9152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 832/569, 143/708 is 9152.

LCM(832/569, 143/708) = 9152

LCM of 832/569, 143/708

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 832/569,143/708

Given numbers are 832/569,143/708

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 832,143

Least Common Multiple of Numerators i.e. LCM of 832,143 is 9152.

GCF of Denominators means GCF of 569,708 as per the given fractions.

GCF of 569,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 832,143

LCM of Fractions 832/569,143/708 is 9152

13 832, 143
64, 11

∴ So the LCM of the given numbers is 13 x 64 x 11 = 9152

Least Common Multiple of 832,143 with GCF Formula

Least Common Multiple of 832,143 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 832,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,143) = 13

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

GCF(832,143) x common factors =13 x 1 = 13

LCM(832,143) = ( 832 × 143 ) / 13

LCM(832,143) = 118976 / 13

LCM(832,143) = 9152


Lets's calculate GCF of 569,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9152/1

Therefore the LCM of Fractions 832/569,143/708 is 9152

Greatest Common Factor of 569,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,708 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 569,708 . The biggest common factor number is the GCF number.
So the greatest common factor 569,708 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 832/569, 143/708

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 832/569, 143/708?

Answer: LCM of Numerators as per given numbers 832/569, 143/708 is

LCM of Numerators i.e. for 832,143 is 9152

GCF of denominators i.e. for 569,708 is 1.

Thus, LCM of Fractions is 9152.Finally, LCM of Fractions for 832/569, 143/708 is 9152.