Least Common Multiple of 92/91, 937/14, 200/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/91, 937/14, 200/823 quickly i.e. 4310200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/91, 937/14, 200/823 is 4310200.

LCM(92/91, 937/14, 200/823) = 4310200

LCM of 92/91, 937/14, 200/823

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 92/91,937/14,200/823

Given numbers are 92/91,937/14,200/823

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 92,937,200

Least Common Multiple of Numerators i.e. LCM of 92,937,200 is 4310200.

GCF of Denominators means GCF of 91,14,823 as per the given fractions.

GCF of 91,14,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,937,200

LCM of Fractions 92/91,937/14,200/823 is 4310200

2 92, 937, 200
2 46, 937, 100
23, 937, 50

∴ So the LCM of the given numbers is 2 x 2 x 23 x 937 x 50 = 4310200

Least Common Multiple of 92,937,200 with GCF Formula

Least Common Multiple of 92,937,200 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 92,937,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,937,200) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,937,200) x common factors =1 x 4 = 4

LCM(92,937,200) = ( 92 × 937 × 200 ) / 4

LCM(92,937,200) = 17240800 / 4

LCM(92,937,200) = 4310200


Lets's calculate GCF of 91,14,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4310200/1

Therefore the LCM of Fractions 92/91,937/14,200/823 is 4310200

Greatest Common Factor of 91,14,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,14,823 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 91,14,823 . The biggest common factor number is the GCF number.
So the greatest common factor 91,14,823 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 92/91, 937/14, 200/823

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 92/91, 937/14, 200/823?

Answer: LCM of Numerators as per given numbers 92/91, 937/14, 200/823 is

LCM of Numerators i.e. for 92,937,200 is 4310200

GCF of denominators i.e. for 91,14,823 is 1.

Thus, LCM of Fractions is 4310200.Finally, LCM of Fractions for 92/91, 937/14, 200/823 is 4310200.