Least Common Multiple of 75/496, 279/520, 266/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/496, 279/520, 266/101 quickly i.e. 1855350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/496, 279/520, 266/101 is 1855350.

LCM(75/496, 279/520, 266/101) = 1855350

LCM of 75/496, 279/520, 266/101

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 75/496,279/520,266/101

Given numbers are 75/496,279/520,266/101

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 75,279,266

Least Common Multiple of Numerators i.e. LCM of 75,279,266 is 1855350.

GCF of Denominators means GCF of 496,520,101 as per the given fractions.

GCF of 496,520,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,279,266

LCM of Fractions 75/496,279/520,266/101 is 1855350

3 75, 279, 266
25, 93, 266

∴ So the LCM of the given numbers is 3 x 25 x 93 x 266 = 1855350

Least Common Multiple of 75,279,266 with GCF Formula

Least Common Multiple of 75,279,266 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 75,279,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,279,266) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,279,266) x common factors =1 x 3 = 3

LCM(75,279,266) = ( 75 × 279 × 266 ) / 3

LCM(75,279,266) = 5566050 / 3

LCM(75,279,266) = 1855350


Lets's calculate GCF of 496,520,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1855350/1

Therefore the LCM of Fractions 75/496,279/520,266/101 is 1855350

Greatest Common Factor of 496,520,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,520,101 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 496,520,101 . The biggest common factor number is the GCF number.
So the greatest common factor 496,520,101 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 75/496, 279/520, 266/101

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 75/496, 279/520, 266/101?

Answer: LCM of Numerators as per given numbers 75/496, 279/520, 266/101 is

LCM of Numerators i.e. for 75,279,266 is 1855350

GCF of denominators i.e. for 496,520,101 is 1.

Thus, LCM of Fractions is 1855350.Finally, LCM of Fractions for 75/496, 279/520, 266/101 is 1855350.