Least Common Multiple of 3437/34, 7708/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3437/34, 7708/495 quickly i.e. 26492396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3437/34, 7708/495 is 26492396.

LCM(3437/34, 7708/495) = 26492396

LCM of 3437/34, 7708/495

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 3437/34,7708/495

Given numbers are 3437/34,7708/495

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 3437,7708

Least Common Multiple of Numerators i.e. LCM of 3437,7708 is 26492396.

GCF of Denominators means GCF of 34,495 as per the given fractions.

GCF of 34,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3437,7708

LCM of Fractions 3437/34,7708/495 is 26492396

Given numbers has no common factors except 1. So, there LCM is their product i.e 26492396

Least Common Multiple of 3437,7708 with GCF Formula

Least Common Multiple of 3437,7708 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 3437,7708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3437,7708) = 1

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

GCF(3437,7708) x common factors =1 x 1 = 1

LCM(3437,7708) = ( 3437 × 7708 ) / 1

LCM(3437,7708) = 26492396 / 1

LCM(3437,7708) = 26492396


Lets's calculate GCF of 34,495

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26492396/1

Therefore the LCM of Fractions 3437/34,7708/495 is 26492396

Greatest Common Factor of 34,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,495 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 34,495 . The biggest common factor number is the GCF number.
So the greatest common factor 34,495 is 1.


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Frequently Asked Questions on Fractional LCM of 3437/34, 7708/495

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 3437/34, 7708/495?

Answer: LCM of Numerators as per given numbers 3437/34, 7708/495 is

LCM of Numerators i.e. for 3437,7708 is 26492396

GCF of denominators i.e. for 34,495 is 1.

Thus, LCM of Fractions is 26492396.Finally, LCM of Fractions for 3437/34, 7708/495 is 26492396.