Least Common Multiple of 5924/350, 8559/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5924/350, 8559/175 quickly i.e. 50703516/175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5924/350, 8559/175 is 50703516/175.

LCM(5924/350, 8559/175) = 50703516/175

LCM of 5924/350, 8559/175

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 5924/350,8559/175

Given numbers are 5924/350,8559/175

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 5924,8559

Least Common Multiple of Numerators i.e. LCM of 5924,8559 is 50703516.

GCF of Denominators means GCF of 350,175 as per the given fractions.

GCF of 350,175 is 175 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5924,8559

LCM of Fractions 5924/350,8559/175 is 50703516/175

Given numbers has no common factors except 1. So, there LCM is their product i.e 50703516

Least Common Multiple of 5924,8559 with GCF Formula

Least Common Multiple of 5924,8559 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 5924,8559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5924,8559) = 1

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

GCF(5924,8559) x common factors =1 x 1 = 1

LCM(5924,8559) = ( 5924 × 8559 ) / 1

LCM(5924,8559) = 50703516 / 1

LCM(5924,8559) = 50703516


Lets's calculate GCF of 350,175

5 350, 175
5 70, 35
7 14, 7
2, 1

∴ So the GCF of the given numbers is 5 x 5 x 7 = 175

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50703516/175

Therefore the LCM of Fractions 5924/350,8559/175 is 50703516/175

Greatest Common Factor of 350,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,175 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 350,175 . The biggest common factor number is the GCF number.
So the greatest common factor 350,175 is 175.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5924/350, 8559/175

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 5924/350, 8559/175?

Answer: LCM of Numerators as per given numbers 5924/350, 8559/175 is

LCM of Numerators i.e. for 5924,8559 is 50703516

GCF of denominators i.e. for 350,175 is 175.

Thus, LCM of Fractions is 50703516/175.Finally, LCM of Fractions for 5924/350, 8559/175 is 50703516/175.