Least Common Multiple of 595/764, 6824/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 595/764, 6824/796 quickly i.e. 1015070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/764, 6824/796 is 1015070.

LCM(595/764, 6824/796) = 1015070

LCM of 595/764, 6824/796

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 595/764,6824/796

Given numbers are 595/764,6824/796

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 595,6824

Least Common Multiple of Numerators i.e. LCM of 595,6824 is 4060280.

GCF of Denominators means GCF of 764,796 as per the given fractions.

GCF of 764,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,6824

LCM of Fractions 595/764,6824/796 is 1015070

Given numbers has no common factors except 1. So, there LCM is their product i.e 4060280

Least Common Multiple of 595,6824 with GCF Formula

Least Common Multiple of 595,6824 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 595,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,6824) = 1

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

GCF(595,6824) x common factors =1 x 1 = 1

LCM(595,6824) = ( 595 × 6824 ) / 1

LCM(595,6824) = 4060280 / 1

LCM(595,6824) = 4060280


Lets's calculate GCF of 764,796

2 764, 796
2 382, 398
191, 199

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4060280/4

Therefore the LCM of Fractions 595/764,6824/796 is 1015070

Greatest Common Factor of 764,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,796 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 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 764,796 . The biggest common factor number is the GCF number.
So the greatest common factor 764,796 is 4.


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Frequently Asked Questions on Fractional LCM of 595/764, 6824/796

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 595/764, 6824/796?

Answer: LCM of Numerators as per given numbers 595/764, 6824/796 is

LCM of Numerators i.e. for 595,6824 is 4060280

GCF of denominators i.e. for 764,796 is 4.

Thus, LCM of Fractions is 1015070.Finally, LCM of Fractions for 595/764, 6824/796 is 1015070.