Least Common Multiple of 3977/110, 2826/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3977/110, 2826/495 quickly i.e. 11239002/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3977/110, 2826/495 is 11239002/55.

LCM(3977/110, 2826/495) = 11239002/55

LCM of 3977/110, 2826/495

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 3977/110,2826/495

Given numbers are 3977/110,2826/495

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 3977,2826

Least Common Multiple of Numerators i.e. LCM of 3977,2826 is 11239002.

GCF of Denominators means GCF of 110,495 as per the given fractions.

GCF of 110,495 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3977,2826

LCM of Fractions 3977/110,2826/495 is 11239002/55

Given numbers has no common factors except 1. So, there LCM is their product i.e 11239002

Least Common Multiple of 3977,2826 with GCF Formula

Least Common Multiple of 3977,2826 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 3977,2826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3977,2826) = 1

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

GCF(3977,2826) x common factors =1 x 1 = 1

LCM(3977,2826) = ( 3977 × 2826 ) / 1

LCM(3977,2826) = 11239002 / 1

LCM(3977,2826) = 11239002


Lets's calculate GCF of 110,495

5 110, 495
11 22, 99
2, 9

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11239002/55

Therefore the LCM of Fractions 3977/110,2826/495 is 11239002/55

Greatest Common Factor of 110,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,495 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 110,495 . The biggest common factor number is the GCF number.
So the greatest common factor 110,495 is 55.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3977/110, 2826/495

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 3977/110, 2826/495?

Answer: LCM of Numerators as per given numbers 3977/110, 2826/495 is

LCM of Numerators i.e. for 3977,2826 is 11239002

GCF of denominators i.e. for 110,495 is 55.

Thus, LCM of Fractions is 11239002/55.Finally, LCM of Fractions for 3977/110, 2826/495 is 11239002/55.