Least Common Multiple of 98/706, 45/174, 596/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/706, 45/174, 596/282 quickly i.e. 657090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/706, 45/174, 596/282 is 657090.

LCM(98/706, 45/174, 596/282) = 657090

LCM of 98/706, 45/174, 596/282

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 98/706,45/174,596/282

Given numbers are 98/706,45/174,596/282

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 98,45,596

Least Common Multiple of Numerators i.e. LCM of 98,45,596 is 1314180.

GCF of Denominators means GCF of 706,174,282 as per the given fractions.

GCF of 706,174,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,45,596

LCM of Fractions 98/706,45/174,596/282 is 657090

2 98, 45, 596
49, 45, 298

∴ So the LCM of the given numbers is 2 x 49 x 45 x 298 = 1314180

Least Common Multiple of 98,45,596 with GCF Formula

Least Common Multiple of 98,45,596 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 98,45,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,45,596) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,45,596) x common factors =1 x 2 = 2

LCM(98,45,596) = ( 98 × 45 × 596 ) / 2

LCM(98,45,596) = 2628360 / 2

LCM(98,45,596) = 1314180


Lets's calculate GCF of 706,174,282

2 706, 174, 282
353, 87, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1314180/2

Therefore the LCM of Fractions 98/706,45/174,596/282 is 657090

Greatest Common Factor of 706,174,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,174,282 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 706,174,282 . The biggest common factor number is the GCF number.
So the greatest common factor 706,174,282 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/706, 45/174, 596/282

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 98/706, 45/174, 596/282?

Answer: LCM of Numerators as per given numbers 98/706, 45/174, 596/282 is

LCM of Numerators i.e. for 98,45,596 is 1314180

GCF of denominators i.e. for 706,174,282 is 2.

Thus, LCM of Fractions is 657090.Finally, LCM of Fractions for 98/706, 45/174, 596/282 is 657090.