Least Common Multiple of 882/92, 276/4552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 882/92, 276/4552 quickly i.e. 10143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/92, 276/4552 is 10143.

LCM(882/92, 276/4552) = 10143

LCM of 882/92, 276/4552

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 882/92,276/4552

Given numbers are 882/92,276/4552

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 882,276

Least Common Multiple of Numerators i.e. LCM of 882,276 is 40572.

GCF of Denominators means GCF of 92,4552 as per the given fractions.

GCF of 92,4552 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,276

LCM of Fractions 882/92,276/4552 is 10143

2 882, 276
3 441, 138
147, 46

∴ So the LCM of the given numbers is 2 x 3 x 147 x 46 = 40572

Least Common Multiple of 882,276 with GCF Formula

Least Common Multiple of 882,276 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 882,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,276) = 6

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

GCF(882,276) x common factors =6 x 1 = 6

LCM(882,276) = ( 882 × 276 ) / 6

LCM(882,276) = 243432 / 6

LCM(882,276) = 40572


Lets's calculate GCF of 92,4552

2 92, 4552
2 46, 2276
23, 1138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40572/4

Therefore the LCM of Fractions 882/92,276/4552 is 10143

Greatest Common Factor of 92,4552 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,4552 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1,2,4,8,569,1138,2276,4552

Greatest Common Factor

We found the factors 92,4552 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4552 is 4.


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Frequently Asked Questions on Fractional LCM of 882/92, 276/4552

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 882/92, 276/4552?

Answer: LCM of Numerators as per given numbers 882/92, 276/4552 is

LCM of Numerators i.e. for 882,276 is 40572

GCF of denominators i.e. for 92,4552 is 4.

Thus, LCM of Fractions is 10143.Finally, LCM of Fractions for 882/92, 276/4552 is 10143.