Least Common Multiple of 5434/75, 1525/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5434/75, 1525/425 quickly i.e. 331474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5434/75, 1525/425 is 331474.

LCM(5434/75, 1525/425) = 331474

LCM of 5434/75, 1525/425

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 5434/75,1525/425

Given numbers are 5434/75,1525/425

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 5434,1525

Least Common Multiple of Numerators i.e. LCM of 5434,1525 is 8286850.

GCF of Denominators means GCF of 75,425 as per the given fractions.

GCF of 75,425 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5434,1525

LCM of Fractions 5434/75,1525/425 is 331474

Given numbers has no common factors except 1. So, there LCM is their product i.e 8286850

Least Common Multiple of 5434,1525 with GCF Formula

Least Common Multiple of 5434,1525 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 5434,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5434,1525) = 1

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

GCF(5434,1525) x common factors =1 x 1 = 1

LCM(5434,1525) = ( 5434 × 1525 ) / 1

LCM(5434,1525) = 8286850 / 1

LCM(5434,1525) = 8286850


Lets's calculate GCF of 75,425

5 75, 425
5 15, 85
3, 17

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8286850/25

Therefore the LCM of Fractions 5434/75,1525/425 is 331474

Greatest Common Factor of 75,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,425 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 75,425 . The biggest common factor number is the GCF number.
So the greatest common factor 75,425 is 25.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5434/75, 1525/425

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 5434/75, 1525/425?

Answer: LCM of Numerators as per given numbers 5434/75, 1525/425 is

LCM of Numerators i.e. for 5434,1525 is 8286850

GCF of denominators i.e. for 75,425 is 25.

Thus, LCM of Fractions is 331474.Finally, LCM of Fractions for 5434/75, 1525/425 is 331474.