Least Common Multiple of 75/370, 848/442, 489/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/370, 848/442, 489/266 quickly i.e. 5183400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/370, 848/442, 489/266 is 5183400.

LCM(75/370, 848/442, 489/266) = 5183400

LCM of 75/370, 848/442, 489/266

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 75/370,848/442,489/266

Given numbers are 75/370,848/442,489/266

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 75,848,489

Least Common Multiple of Numerators i.e. LCM of 75,848,489 is 10366800.

GCF of Denominators means GCF of 370,442,266 as per the given fractions.

GCF of 370,442,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,848,489

LCM of Fractions 75/370,848/442,489/266 is 5183400

3 75, 848, 489
25, 848, 163

∴ So the LCM of the given numbers is 3 x 25 x 848 x 163 = 10366800

Least Common Multiple of 75,848,489 with GCF Formula

Least Common Multiple of 75,848,489 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 75,848,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,848,489) = 1

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

GCF(75,848,489) x common factors =1 x 3 = 3

LCM(75,848,489) = ( 75 × 848 × 489 ) / 3

LCM(75,848,489) = 31100400 / 3

LCM(75,848,489) = 10366800


Lets's calculate GCF of 370,442,266

2 370, 442, 266
185, 221, 133

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10366800/2

Therefore the LCM of Fractions 75/370,848/442,489/266 is 5183400

Greatest Common Factor of 370,442,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,442,266 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 370,442,266 . The biggest common factor number is the GCF number.
So the greatest common factor 370,442,266 is 2.


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 75/370, 848/442, 489/266

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 75/370, 848/442, 489/266?

Answer: LCM of Numerators as per given numbers 75/370, 848/442, 489/266 is

LCM of Numerators i.e. for 75,848,489 is 10366800

GCF of denominators i.e. for 370,442,266 is 2.

Thus, LCM of Fractions is 5183400.Finally, LCM of Fractions for 75/370, 848/442, 489/266 is 5183400.