Least Common Multiple of 495/85, 764/6490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 495/85, 764/6490 quickly i.e. 75636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/85, 764/6490 is 75636.

LCM(495/85, 764/6490) = 75636

LCM of 495/85, 764/6490

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 495/85,764/6490

Given numbers are 495/85,764/6490

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 495,764

Least Common Multiple of Numerators i.e. LCM of 495,764 is 378180.

GCF of Denominators means GCF of 85,6490 as per the given fractions.

GCF of 85,6490 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,764

LCM of Fractions 495/85,764/6490 is 75636

Given numbers has no common factors except 1. So, there LCM is their product i.e 378180

Least Common Multiple of 495,764 with GCF Formula

Least Common Multiple of 495,764 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 495,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,764) = 1

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

GCF(495,764) x common factors =1 x 1 = 1

LCM(495,764) = ( 495 × 764 ) / 1

LCM(495,764) = 378180 / 1

LCM(495,764) = 378180


Lets's calculate GCF of 85,6490

5 85, 6490
17, 1298

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378180/5

Therefore the LCM of Fractions 495/85,764/6490 is 75636

Greatest Common Factor of 85,6490 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,6490 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 6490

List of positive integer factors of 6490 that divides 6490 without a remainder.

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Greatest Common Factor

We found the factors 85,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 85,6490 is 5.


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Frequently Asked Questions on Fractional LCM of 495/85, 764/6490

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 495/85, 764/6490?

Answer: LCM of Numerators as per given numbers 495/85, 764/6490 is

LCM of Numerators i.e. for 495,764 is 378180

GCF of denominators i.e. for 85,6490 is 5.

Thus, LCM of Fractions is 75636.Finally, LCM of Fractions for 495/85, 764/6490 is 75636.