Least Common Multiple of 98/526, 168/535, 711/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/526, 168/535, 711/669 quickly i.e. 278712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/526, 168/535, 711/669 is 278712.

LCM(98/526, 168/535, 711/669) = 278712

LCM of 98/526, 168/535, 711/669

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 98/526,168/535,711/669

Given numbers are 98/526,168/535,711/669

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 98,168,711

Least Common Multiple of Numerators i.e. LCM of 98,168,711 is 278712.

GCF of Denominators means GCF of 526,535,669 as per the given fractions.

GCF of 526,535,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,168,711

LCM of Fractions 98/526,168/535,711/669 is 278712

2 98, 168, 711
3 49, 84, 711
7 49, 28, 237
7, 4, 237

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 4 x 237 = 278712

Least Common Multiple of 98,168,711 with GCF Formula

Least Common Multiple of 98,168,711 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 98,168,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,168,711) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(98,168,711) x common factors =1 x 42 = 42

LCM(98,168,711) = ( 98 × 168 × 711 ) / 42

LCM(98,168,711) = 11705904 / 42

LCM(98,168,711) = 278712


Lets's calculate GCF of 526,535,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278712/1

Therefore the LCM of Fractions 98/526,168/535,711/669 is 278712

Greatest Common Factor of 526,535,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,535,669 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 526,535,669 . The biggest common factor number is the GCF number.
So the greatest common factor 526,535,669 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/526, 168/535, 711/669

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 98/526, 168/535, 711/669?

Answer: LCM of Numerators as per given numbers 98/526, 168/535, 711/669 is

LCM of Numerators i.e. for 98,168,711 is 278712

GCF of denominators i.e. for 526,535,669 is 1.

Thus, LCM of Fractions is 278712.Finally, LCM of Fractions for 98/526, 168/535, 711/669 is 278712.