Least Common Multiple of 1795/774, 2913/9700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1795/774, 2913/9700 quickly i.e. 5228835/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1795/774, 2913/9700 is 5228835/2.

LCM(1795/774, 2913/9700) = 5228835/2

LCM of 1795/774, 2913/9700

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 1795/774,2913/9700

Given numbers are 1795/774,2913/9700

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 1795,2913

Least Common Multiple of Numerators i.e. LCM of 1795,2913 is 5228835.

GCF of Denominators means GCF of 774,9700 as per the given fractions.

GCF of 774,9700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1795,2913

LCM of Fractions 1795/774,2913/9700 is 5228835/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5228835

Least Common Multiple of 1795,2913 with GCF Formula

Least Common Multiple of 1795,2913 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 1795,2913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1795,2913) = 1

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

GCF(1795,2913) x common factors =1 x 1 = 1

LCM(1795,2913) = ( 1795 × 2913 ) / 1

LCM(1795,2913) = 5228835 / 1

LCM(1795,2913) = 5228835


Lets's calculate GCF of 774,9700

2 774, 9700
387, 4850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5228835/2

Therefore the LCM of Fractions 1795/774,2913/9700 is 5228835/2

Greatest Common Factor of 774,9700 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,9700 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

Greatest Common Factor

We found the factors 774,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 774,9700 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1795/774, 2913/9700

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 1795/774, 2913/9700?

Answer: LCM of Numerators as per given numbers 1795/774, 2913/9700 is

LCM of Numerators i.e. for 1795,2913 is 5228835

GCF of denominators i.e. for 774,9700 is 2.

Thus, LCM of Fractions is 5228835/2.Finally, LCM of Fractions for 1795/774, 2913/9700 is 5228835/2.