Least Common Multiple of 12/97, 827/88, 892/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/97, 827/88, 892/581 quickly i.e. 2213052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/97, 827/88, 892/581 is 2213052.

LCM(12/97, 827/88, 892/581) = 2213052

LCM of 12/97, 827/88, 892/581

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 12/97,827/88,892/581

Given numbers are 12/97,827/88,892/581

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 12,827,892

Least Common Multiple of Numerators i.e. LCM of 12,827,892 is 2213052.

GCF of Denominators means GCF of 97,88,581 as per the given fractions.

GCF of 97,88,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,827,892

LCM of Fractions 12/97,827/88,892/581 is 2213052

2 12, 827, 892
2 6, 827, 446
3, 827, 223

∴ So the LCM of the given numbers is 2 x 2 x 3 x 827 x 223 = 2213052

Least Common Multiple of 12,827,892 with GCF Formula

Least Common Multiple of 12,827,892 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 12,827,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,827,892) = 1

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

GCF(12,827,892) x common factors =1 x 4 = 4

LCM(12,827,892) = ( 12 × 827 × 892 ) / 4

LCM(12,827,892) = 8852208 / 4

LCM(12,827,892) = 2213052


Lets's calculate GCF of 97,88,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2213052/1

Therefore the LCM of Fractions 12/97,827/88,892/581 is 2213052

Greatest Common Factor of 97,88,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,88,581 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 97,88,581 . The biggest common factor number is the GCF number.
So the greatest common factor 97,88,581 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/97, 827/88, 892/581

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 12/97, 827/88, 892/581?

Answer: LCM of Numerators as per given numbers 12/97, 827/88, 892/581 is

LCM of Numerators i.e. for 12,827,892 is 2213052

GCF of denominators i.e. for 97,88,581 is 1.

Thus, LCM of Fractions is 2213052.Finally, LCM of Fractions for 12/97, 827/88, 892/581 is 2213052.