Least Common Multiple of 174/53, 983/23, 668/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/53, 983/23, 668/698 quickly i.e. 57128028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/53, 983/23, 668/698 is 57128028.

LCM(174/53, 983/23, 668/698) = 57128028

LCM of 174/53, 983/23, 668/698

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 174/53,983/23,668/698

Given numbers are 174/53,983/23,668/698

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 174,983,668

Least Common Multiple of Numerators i.e. LCM of 174,983,668 is 57128028.

GCF of Denominators means GCF of 53,23,698 as per the given fractions.

GCF of 53,23,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,983,668

LCM of Fractions 174/53,983/23,668/698 is 57128028

2 174, 983, 668
87, 983, 334

∴ So the LCM of the given numbers is 2 x 87 x 983 x 334 = 57128028

Least Common Multiple of 174,983,668 with GCF Formula

Least Common Multiple of 174,983,668 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 174,983,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,983,668) = 1

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

GCF(174,983,668) x common factors =1 x 2 = 2

LCM(174,983,668) = ( 174 × 983 × 668 ) / 2

LCM(174,983,668) = 114256056 / 2

LCM(174,983,668) = 57128028


Lets's calculate GCF of 53,23,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57128028/1

Therefore the LCM of Fractions 174/53,983/23,668/698 is 57128028

Greatest Common Factor of 53,23,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,23,698 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 53,23,698 . The biggest common factor number is the GCF number.
So the greatest common factor 53,23,698 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 174/53, 983/23, 668/698

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 174/53, 983/23, 668/698?

Answer: LCM of Numerators as per given numbers 174/53, 983/23, 668/698 is

LCM of Numerators i.e. for 174,983,668 is 57128028

GCF of denominators i.e. for 53,23,698 is 1.

Thus, LCM of Fractions is 57128028.Finally, LCM of Fractions for 174/53, 983/23, 668/698 is 57128028.