Least Common Multiple of 792/839, 9382/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 792/839, 9382/858 quickly i.e. 3715272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/839, 9382/858 is 3715272.

LCM(792/839, 9382/858) = 3715272

LCM of 792/839, 9382/858

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 792/839,9382/858

Given numbers are 792/839,9382/858

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 792,9382

Least Common Multiple of Numerators i.e. LCM of 792,9382 is 3715272.

GCF of Denominators means GCF of 839,858 as per the given fractions.

GCF of 839,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,9382

LCM of Fractions 792/839,9382/858 is 3715272

2 792, 9382
396, 4691

∴ So the LCM of the given numbers is 2 x 396 x 4691 = 3715272

Least Common Multiple of 792,9382 with GCF Formula

Least Common Multiple of 792,9382 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 792,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,9382) = 2

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

GCF(792,9382) x common factors =2 x 1 = 2

LCM(792,9382) = ( 792 × 9382 ) / 2

LCM(792,9382) = 7430544 / 2

LCM(792,9382) = 3715272


Lets's calculate GCF of 839,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3715272/1

Therefore the LCM of Fractions 792/839,9382/858 is 3715272

Greatest Common Factor of 839,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,858 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 839,858 . The biggest common factor number is the GCF number.
So the greatest common factor 839,858 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 792/839, 9382/858

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 792/839, 9382/858?

Answer: LCM of Numerators as per given numbers 792/839, 9382/858 is

LCM of Numerators i.e. for 792,9382 is 3715272

GCF of denominators i.e. for 839,858 is 1.

Thus, LCM of Fractions is 3715272.Finally, LCM of Fractions for 792/839, 9382/858 is 3715272.