Least Common Multiple of 698/509, 166/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/509, 166/734 quickly i.e. 57934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/509, 166/734 is 57934.

LCM(698/509, 166/734) = 57934

LCM of 698/509, 166/734

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 698/509,166/734

Given numbers are 698/509,166/734

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 698,166

Least Common Multiple of Numerators i.e. LCM of 698,166 is 57934.

GCF of Denominators means GCF of 509,734 as per the given fractions.

GCF of 509,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,166

LCM of Fractions 698/509,166/734 is 57934

2 698, 166
349, 83

∴ So the LCM of the given numbers is 2 x 349 x 83 = 57934

Least Common Multiple of 698,166 with GCF Formula

Least Common Multiple of 698,166 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 698,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,166) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(698,166) x common factors =2 x 1 = 2

LCM(698,166) = ( 698 × 166 ) / 2

LCM(698,166) = 115868 / 2

LCM(698,166) = 57934


Lets's calculate GCF of 509,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57934/1

Therefore the LCM of Fractions 698/509,166/734 is 57934

Greatest Common Factor of 509,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,734 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 509,734 . The biggest common factor number is the GCF number.
So the greatest common factor 509,734 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 698/509, 166/734

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 698/509, 166/734?

Answer: LCM of Numerators as per given numbers 698/509, 166/734 is

LCM of Numerators i.e. for 698,166 is 57934

GCF of denominators i.e. for 509,734 is 1.

Thus, LCM of Fractions is 57934.Finally, LCM of Fractions for 698/509, 166/734 is 57934.