Least Common Multiple of 27/964, 7023/8870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/964, 7023/8870 quickly i.e. 63207/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/964, 7023/8870 is 63207/2.

LCM(27/964, 7023/8870) = 63207/2

LCM of 27/964, 7023/8870

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 27/964,7023/8870

Given numbers are 27/964,7023/8870

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 27,7023

Least Common Multiple of Numerators i.e. LCM of 27,7023 is 63207.

GCF of Denominators means GCF of 964,8870 as per the given fractions.

GCF of 964,8870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,7023

LCM of Fractions 27/964,7023/8870 is 63207/2

3 27, 7023
9, 2341

∴ So the LCM of the given numbers is 3 x 9 x 2341 = 63207

Least Common Multiple of 27,7023 with GCF Formula

Least Common Multiple of 27,7023 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 27,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,7023) = 3

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

GCF(27,7023) x common factors =3 x 1 = 3

LCM(27,7023) = ( 27 × 7023 ) / 3

LCM(27,7023) = 189621 / 3

LCM(27,7023) = 63207


Lets's calculate GCF of 964,8870

2 964, 8870
482, 4435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63207/2

Therefore the LCM of Fractions 27/964,7023/8870 is 63207/2

Greatest Common Factor of 964,8870 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,8870 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 8870

List of positive integer factors of 8870 that divides 8870 without a remainder.

1,2,5,10,887,1774,4435,8870

Greatest Common Factor

We found the factors 964,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 964,8870 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/964, 7023/8870

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 27/964, 7023/8870?

Answer: LCM of Numerators as per given numbers 27/964, 7023/8870 is

LCM of Numerators i.e. for 27,7023 is 63207

GCF of denominators i.e. for 964,8870 is 2.

Thus, LCM of Fractions is 63207/2.Finally, LCM of Fractions for 27/964, 7023/8870 is 63207/2.