Least Common Multiple of 975/87, 899/8994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 975/87, 899/8994 quickly i.e. 292175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/87, 899/8994 is 292175.

LCM(975/87, 899/8994) = 292175

LCM of 975/87, 899/8994

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 975/87,899/8994

Given numbers are 975/87,899/8994

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 975,899

Least Common Multiple of Numerators i.e. LCM of 975,899 is 876525.

GCF of Denominators means GCF of 87,8994 as per the given fractions.

GCF of 87,8994 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,899

LCM of Fractions 975/87,899/8994 is 292175

Given numbers has no common factors except 1. So, there LCM is their product i.e 876525

Least Common Multiple of 975,899 with GCF Formula

Least Common Multiple of 975,899 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 975,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,899) = 1

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

GCF(975,899) x common factors =1 x 1 = 1

LCM(975,899) = ( 975 × 899 ) / 1

LCM(975,899) = 876525 / 1

LCM(975,899) = 876525


Lets's calculate GCF of 87,8994

3 87, 8994
29, 2998

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876525/3

Therefore the LCM of Fractions 975/87,899/8994 is 292175

Greatest Common Factor of 87,8994 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,8994 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 8994

List of positive integer factors of 8994 that divides 8994 without a remainder.

1,2,3,6,1499,2998,4497,8994

Greatest Common Factor

We found the factors 87,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 87,8994 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 975/87, 899/8994

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 975/87, 899/8994?

Answer: LCM of Numerators as per given numbers 975/87, 899/8994 is

LCM of Numerators i.e. for 975,899 is 876525

GCF of denominators i.e. for 87,8994 is 3.

Thus, LCM of Fractions is 292175.Finally, LCM of Fractions for 975/87, 899/8994 is 292175.