Least Common Multiple of 674/764, 9013/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 674/764, 9013/764 quickly i.e. 6074762/764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/764, 9013/764 is 6074762/764.

LCM(674/764, 9013/764) = 6074762/764

LCM of 674/764, 9013/764

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 674/764,9013/764

Given numbers are 674/764,9013/764

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 674,9013

Least Common Multiple of Numerators i.e. LCM of 674,9013 is 6074762.

GCF of Denominators means GCF of 764,764 as per the given fractions.

GCF of 764,764 is 764 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,9013

LCM of Fractions 674/764,9013/764 is 6074762/764

Given numbers has no common factors except 1. So, there LCM is their product i.e 6074762

Least Common Multiple of 674,9013 with GCF Formula

Least Common Multiple of 674,9013 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 674,9013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,9013) = 1

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

GCF(674,9013) x common factors =1 x 1 = 1

LCM(674,9013) = ( 674 × 9013 ) / 1

LCM(674,9013) = 6074762 / 1

LCM(674,9013) = 6074762


Lets's calculate GCF of 764,764

2 764, 764
2 382, 382
191 191, 191
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 191 = 764

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6074762/764

Therefore the LCM of Fractions 674/764,9013/764 is 6074762/764

Greatest Common Factor of 764,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,764 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 764,764 . The biggest common factor number is the GCF number.
So the greatest common factor 764,764 is 764.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 674/764, 9013/764

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 674/764, 9013/764?

Answer: LCM of Numerators as per given numbers 674/764, 9013/764 is

LCM of Numerators i.e. for 674,9013 is 6074762

GCF of denominators i.e. for 764,764 is 764.

Thus, LCM of Fractions is 6074762/764.Finally, LCM of Fractions for 674/764, 9013/764 is 6074762/764.