Least Common Multiple of 3559/253, 2796/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3559/253, 2796/385 quickly i.e. 9950964/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3559/253, 2796/385 is 9950964/11.

LCM(3559/253, 2796/385) = 9950964/11

LCM of 3559/253, 2796/385

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 3559/253,2796/385

Given numbers are 3559/253,2796/385

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 3559,2796

Least Common Multiple of Numerators i.e. LCM of 3559,2796 is 9950964.

GCF of Denominators means GCF of 253,385 as per the given fractions.

GCF of 253,385 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3559,2796

LCM of Fractions 3559/253,2796/385 is 9950964/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 9950964

Least Common Multiple of 3559,2796 with GCF Formula

Least Common Multiple of 3559,2796 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 3559,2796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3559,2796) = 1

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

GCF(3559,2796) x common factors =1 x 1 = 1

LCM(3559,2796) = ( 3559 × 2796 ) / 1

LCM(3559,2796) = 9950964 / 1

LCM(3559,2796) = 9950964


Lets's calculate GCF of 253,385

11 253, 385
23, 35

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9950964/11

Therefore the LCM of Fractions 3559/253,2796/385 is 9950964/11

Greatest Common Factor of 253,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,385 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 253,385 . The biggest common factor number is the GCF number.
So the greatest common factor 253,385 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3559/253, 2796/385

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 3559/253, 2796/385?

Answer: LCM of Numerators as per given numbers 3559/253, 2796/385 is

LCM of Numerators i.e. for 3559,2796 is 9950964

GCF of denominators i.e. for 253,385 is 11.

Thus, LCM of Fractions is 9950964/11.Finally, LCM of Fractions for 3559/253, 2796/385 is 9950964/11.