Least Common Multiple of 7936/830, 7543/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7936/830, 7543/762 quickly i.e. 29930624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7936/830, 7543/762 is 29930624.

LCM(7936/830, 7543/762) = 29930624

LCM of 7936/830, 7543/762

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 7936/830,7543/762

Given numbers are 7936/830,7543/762

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 7936,7543

Least Common Multiple of Numerators i.e. LCM of 7936,7543 is 59861248.

GCF of Denominators means GCF of 830,762 as per the given fractions.

GCF of 830,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7936,7543

LCM of Fractions 7936/830,7543/762 is 29930624

Given numbers has no common factors except 1. So, there LCM is their product i.e 59861248

Least Common Multiple of 7936,7543 with GCF Formula

Least Common Multiple of 7936,7543 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 7936,7543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7936,7543) = 1

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

GCF(7936,7543) x common factors =1 x 1 = 1

LCM(7936,7543) = ( 7936 × 7543 ) / 1

LCM(7936,7543) = 59861248 / 1

LCM(7936,7543) = 59861248


Lets's calculate GCF of 830,762

2 830, 762
415, 381

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59861248/2

Therefore the LCM of Fractions 7936/830,7543/762 is 29930624

Greatest Common Factor of 830,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,762 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 830,762 . The biggest common factor number is the GCF number.
So the greatest common factor 830,762 is 2.


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Frequently Asked Questions on Fractional LCM of 7936/830, 7543/762

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 7936/830, 7543/762?

Answer: LCM of Numerators as per given numbers 7936/830, 7543/762 is

LCM of Numerators i.e. for 7936,7543 is 59861248

GCF of denominators i.e. for 830,762 is 2.

Thus, LCM of Fractions is 29930624.Finally, LCM of Fractions for 7936/830, 7543/762 is 29930624.