Least Common Multiple of 92/552, 36/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/552, 36/892 quickly i.e. 207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/552, 36/892 is 207.

LCM(92/552, 36/892) = 207

LCM of 92/552, 36/892

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 92/552,36/892

Given numbers are 92/552,36/892

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 92,36

Least Common Multiple of Numerators i.e. LCM of 92,36 is 828.

GCF of Denominators means GCF of 552,892 as per the given fractions.

GCF of 552,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,36

LCM of Fractions 92/552,36/892 is 207

2 92, 36
2 46, 18
23, 9

∴ So the LCM of the given numbers is 2 x 2 x 23 x 9 = 828

Least Common Multiple of 92,36 with GCF Formula

Least Common Multiple of 92,36 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 92,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,36) = 4

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

GCF(92,36) x common factors =4 x 1 = 4

LCM(92,36) = ( 92 × 36 ) / 4

LCM(92,36) = 3312 / 4

LCM(92,36) = 828


Lets's calculate GCF of 552,892

2 552, 892
2 276, 446
138, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828/4

Therefore the LCM of Fractions 92/552,36/892 is 207

Greatest Common Factor of 552,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,892 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 552,892 . The biggest common factor number is the GCF number.
So the greatest common factor 552,892 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/552, 36/892

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 92/552, 36/892?

Answer: LCM of Numerators as per given numbers 92/552, 36/892 is

LCM of Numerators i.e. for 92,36 is 828

GCF of denominators i.e. for 552,892 is 4.

Thus, LCM of Fractions is 207.Finally, LCM of Fractions for 92/552, 36/892 is 207.