Least Common Multiple of 24/204, 848/757, 967/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/204, 848/757, 967/532 quickly i.e. 2460048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/204, 848/757, 967/532 is 2460048.

LCM(24/204, 848/757, 967/532) = 2460048

LCM of 24/204, 848/757, 967/532

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 24/204,848/757,967/532

Given numbers are 24/204,848/757,967/532

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 24,848,967

Least Common Multiple of Numerators i.e. LCM of 24,848,967 is 2460048.

GCF of Denominators means GCF of 204,757,532 as per the given fractions.

GCF of 204,757,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,848,967

LCM of Fractions 24/204,848/757,967/532 is 2460048

2 24, 848, 967
2 12, 424, 967
2 6, 212, 967
3, 106, 967

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 106 x 967 = 2460048

Least Common Multiple of 24,848,967 with GCF Formula

Least Common Multiple of 24,848,967 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 24,848,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,848,967) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(24,848,967) x common factors =1 x 8 = 8

LCM(24,848,967) = ( 24 × 848 × 967 ) / 8

LCM(24,848,967) = 19680384 / 8

LCM(24,848,967) = 2460048


Lets's calculate GCF of 204,757,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2460048/1

Therefore the LCM of Fractions 24/204,848/757,967/532 is 2460048

Greatest Common Factor of 204,757,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,757,532 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 204,757,532 . The biggest common factor number is the GCF number.
So the greatest common factor 204,757,532 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 24/204, 848/757, 967/532

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 24/204, 848/757, 967/532?

Answer: LCM of Numerators as per given numbers 24/204, 848/757, 967/532 is

LCM of Numerators i.e. for 24,848,967 is 2460048

GCF of denominators i.e. for 204,757,532 is 1.

Thus, LCM of Fractions is 2460048.Finally, LCM of Fractions for 24/204, 848/757, 967/532 is 2460048.