Least Common Multiple of 7958/782, 7303/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7958/782, 7303/812 quickly i.e. 29058637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7958/782, 7303/812 is 29058637.

LCM(7958/782, 7303/812) = 29058637

LCM of 7958/782, 7303/812

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 7958/782,7303/812

Given numbers are 7958/782,7303/812

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 7958,7303

Least Common Multiple of Numerators i.e. LCM of 7958,7303 is 58117274.

GCF of Denominators means GCF of 782,812 as per the given fractions.

GCF of 782,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7958,7303

LCM of Fractions 7958/782,7303/812 is 29058637

Given numbers has no common factors except 1. So, there LCM is their product i.e 58117274

Least Common Multiple of 7958,7303 with GCF Formula

Least Common Multiple of 7958,7303 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 7958,7303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7958,7303) = 1

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

GCF(7958,7303) x common factors =1 x 1 = 1

LCM(7958,7303) = ( 7958 × 7303 ) / 1

LCM(7958,7303) = 58117274 / 1

LCM(7958,7303) = 58117274


Lets's calculate GCF of 782,812

2 782, 812
391, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58117274/2

Therefore the LCM of Fractions 7958/782,7303/812 is 29058637

Greatest Common Factor of 782,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,812 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 782,812 . The biggest common factor number is the GCF number.
So the greatest common factor 782,812 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7958/782, 7303/812

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 7958/782, 7303/812?

Answer: LCM of Numerators as per given numbers 7958/782, 7303/812 is

LCM of Numerators i.e. for 7958,7303 is 58117274

GCF of denominators i.e. for 782,812 is 2.

Thus, LCM of Fractions is 29058637.Finally, LCM of Fractions for 7958/782, 7303/812 is 29058637.