Least Common Multiple of 433/424, 6754/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 433/424, 6754/896 quickly i.e. 2924482/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 433/424, 6754/896 is 2924482/8.

LCM(433/424, 6754/896) = 2924482/8

LCM of 433/424, 6754/896

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 433/424,6754/896

Given numbers are 433/424,6754/896

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 433,6754

Least Common Multiple of Numerators i.e. LCM of 433,6754 is 2924482.

GCF of Denominators means GCF of 424,896 as per the given fractions.

GCF of 424,896 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 433,6754

LCM of Fractions 433/424,6754/896 is 2924482/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 2924482

Least Common Multiple of 433,6754 with GCF Formula

Least Common Multiple of 433,6754 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 433,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,6754) = 1

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

GCF(433,6754) x common factors =1 x 1 = 1

LCM(433,6754) = ( 433 × 6754 ) / 1

LCM(433,6754) = 2924482 / 1

LCM(433,6754) = 2924482


Lets's calculate GCF of 424,896

2 424, 896
2 212, 448
2 106, 224
53, 112

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2924482/8

Therefore the LCM of Fractions 433/424,6754/896 is 2924482/8

Greatest Common Factor of 424,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,896 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 424,896 . The biggest common factor number is the GCF number.
So the greatest common factor 424,896 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 433/424, 6754/896

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 433/424, 6754/896?

Answer: LCM of Numerators as per given numbers 433/424, 6754/896 is

LCM of Numerators i.e. for 433,6754 is 2924482

GCF of denominators i.e. for 424,896 is 8.

Thus, LCM of Fractions is 2924482/8.Finally, LCM of Fractions for 433/424, 6754/896 is 2924482/8.