Least Common Multiple of 307/87, 107/97, 574/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 307/87, 107/97, 574/751 quickly i.e. 18855326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/87, 107/97, 574/751 is 18855326.

LCM(307/87, 107/97, 574/751) = 18855326

LCM of 307/87, 107/97, 574/751

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 307/87,107/97,574/751

Given numbers are 307/87,107/97,574/751

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 307,107,574

Least Common Multiple of Numerators i.e. LCM of 307,107,574 is 18855326.

GCF of Denominators means GCF of 87,97,751 as per the given fractions.

GCF of 87,97,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,107,574

LCM of Fractions 307/87,107/97,574/751 is 18855326

Given numbers has no common factors except 1. So, there LCM is their product i.e 18855326

Least Common Multiple of 307,107,574 with GCF Formula

Least Common Multiple of 307,107,574 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 307,107,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,107,574) = 1

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

GCF(307,107,574) x common factors =1 x 1 = 1

LCM(307,107,574) = ( 307 × 107 × 574 ) / 1

LCM(307,107,574) = 18855326 / 1

LCM(307,107,574) = 18855326


Lets's calculate GCF of 87,97,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18855326/1

Therefore the LCM of Fractions 307/87,107/97,574/751 is 18855326

Greatest Common Factor of 87,97,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,97,751 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 87,97,751 . The biggest common factor number is the GCF number.
So the greatest common factor 87,97,751 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 307/87, 107/97, 574/751

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 307/87, 107/97, 574/751?

Answer: LCM of Numerators as per given numbers 307/87, 107/97, 574/751 is

LCM of Numerators i.e. for 307,107,574 is 18855326

GCF of denominators i.e. for 87,97,751 is 1.

Thus, LCM of Fractions is 18855326.Finally, LCM of Fractions for 307/87, 107/97, 574/751 is 18855326.