Least Common Multiple of 65/739, 535/709, 475/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/739, 535/709, 475/248 quickly i.e. 660725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/739, 535/709, 475/248 is 660725.

LCM(65/739, 535/709, 475/248) = 660725

LCM of 65/739, 535/709, 475/248

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 65/739,535/709,475/248

Given numbers are 65/739,535/709,475/248

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 65,535,475

Least Common Multiple of Numerators i.e. LCM of 65,535,475 is 660725.

GCF of Denominators means GCF of 739,709,248 as per the given fractions.

GCF of 739,709,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,535,475

LCM of Fractions 65/739,535/709,475/248 is 660725

5 65, 535, 475
13, 107, 95

∴ So the LCM of the given numbers is 5 x 13 x 107 x 95 = 660725

Least Common Multiple of 65,535,475 with GCF Formula

Least Common Multiple of 65,535,475 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 65,535,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,535,475) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(65,535,475) x common factors =5 x 5 = 25

LCM(65,535,475) = ( 65 × 535 × 475 ) / 25

LCM(65,535,475) = 16518125 / 25

LCM(65,535,475) = 660725


Lets's calculate GCF of 739,709,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 660725/1

Therefore the LCM of Fractions 65/739,535/709,475/248 is 660725

Greatest Common Factor of 739,709,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,709,248 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 739,709,248 . The biggest common factor number is the GCF number.
So the greatest common factor 739,709,248 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/739, 535/709, 475/248

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 65/739, 535/709, 475/248?

Answer: LCM of Numerators as per given numbers 65/739, 535/709, 475/248 is

LCM of Numerators i.e. for 65,535,475 is 660725

GCF of denominators i.e. for 739,709,248 is 1.

Thus, LCM of Fractions is 660725.Finally, LCM of Fractions for 65/739, 535/709, 475/248 is 660725.