Least Common Multiple of 7492/11, 6707/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7492/11, 6707/746 quickly i.e. 50248844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7492/11, 6707/746 is 50248844.

LCM(7492/11, 6707/746) = 50248844

LCM of 7492/11, 6707/746

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 7492/11,6707/746

Given numbers are 7492/11,6707/746

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 7492,6707

Least Common Multiple of Numerators i.e. LCM of 7492,6707 is 50248844.

GCF of Denominators means GCF of 11,746 as per the given fractions.

GCF of 11,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7492,6707

LCM of Fractions 7492/11,6707/746 is 50248844

Given numbers has no common factors except 1. So, there LCM is their product i.e 50248844

Least Common Multiple of 7492,6707 with GCF Formula

Least Common Multiple of 7492,6707 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 7492,6707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7492,6707) = 1

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

GCF(7492,6707) x common factors =1 x 1 = 1

LCM(7492,6707) = ( 7492 × 6707 ) / 1

LCM(7492,6707) = 50248844 / 1

LCM(7492,6707) = 50248844


Lets's calculate GCF of 11,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50248844/1

Therefore the LCM of Fractions 7492/11,6707/746 is 50248844

Greatest Common Factor of 11,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,746 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 11,746 . The biggest common factor number is the GCF number.
So the greatest common factor 11,746 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7492/11, 6707/746

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 7492/11, 6707/746?

Answer: LCM of Numerators as per given numbers 7492/11, 6707/746 is

LCM of Numerators i.e. for 7492,6707 is 50248844

GCF of denominators i.e. for 11,746 is 1.

Thus, LCM of Fractions is 50248844.Finally, LCM of Fractions for 7492/11, 6707/746 is 50248844.