Least Common Multiple of 98/694, 71/744, 706/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/694, 71/744, 706/183 quickly i.e. 2456174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/694, 71/744, 706/183 is 2456174.

LCM(98/694, 71/744, 706/183) = 2456174

LCM of 98/694, 71/744, 706/183

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 98/694,71/744,706/183

Given numbers are 98/694,71/744,706/183

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 98,71,706

Least Common Multiple of Numerators i.e. LCM of 98,71,706 is 2456174.

GCF of Denominators means GCF of 694,744,183 as per the given fractions.

GCF of 694,744,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,71,706

LCM of Fractions 98/694,71/744,706/183 is 2456174

2 98, 71, 706
49, 71, 353

∴ So the LCM of the given numbers is 2 x 49 x 71 x 353 = 2456174

Least Common Multiple of 98,71,706 with GCF Formula

Least Common Multiple of 98,71,706 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 98,71,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,71,706) = 1

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

GCF(98,71,706) x common factors =1 x 2 = 2

LCM(98,71,706) = ( 98 × 71 × 706 ) / 2

LCM(98,71,706) = 4912348 / 2

LCM(98,71,706) = 2456174


Lets's calculate GCF of 694,744,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2456174/1

Therefore the LCM of Fractions 98/694,71/744,706/183 is 2456174

Greatest Common Factor of 694,744,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,744,183 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 694,744,183 . The biggest common factor number is the GCF number.
So the greatest common factor 694,744,183 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/694, 71/744, 706/183

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 98/694, 71/744, 706/183?

Answer: LCM of Numerators as per given numbers 98/694, 71/744, 706/183 is

LCM of Numerators i.e. for 98,71,706 is 2456174

GCF of denominators i.e. for 694,744,183 is 1.

Thus, LCM of Fractions is 2456174.Finally, LCM of Fractions for 98/694, 71/744, 706/183 is 2456174.