Least Common Multiple of 692/98, 735/72, 332/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/98, 735/72, 332/524 quickly i.e. 21107730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/98, 735/72, 332/524 is 21107730.

LCM(692/98, 735/72, 332/524) = 21107730

LCM of 692/98, 735/72, 332/524

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 692/98,735/72,332/524

Given numbers are 692/98,735/72,332/524

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 692,735,332

Least Common Multiple of Numerators i.e. LCM of 692,735,332 is 42215460.

GCF of Denominators means GCF of 98,72,524 as per the given fractions.

GCF of 98,72,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,735,332

LCM of Fractions 692/98,735/72,332/524 is 21107730

2 692, 735, 332
2 346, 735, 166
173, 735, 83

∴ So the LCM of the given numbers is 2 x 2 x 173 x 735 x 83 = 42215460

Least Common Multiple of 692,735,332 with GCF Formula

Least Common Multiple of 692,735,332 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 692,735,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,735,332) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(692,735,332) x common factors =1 x 4 = 4

LCM(692,735,332) = ( 692 × 735 × 332 ) / 4

LCM(692,735,332) = 168861840 / 4

LCM(692,735,332) = 42215460


Lets's calculate GCF of 98,72,524

2 98, 72, 524
49, 36, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42215460/2

Therefore the LCM of Fractions 692/98,735/72,332/524 is 21107730

Greatest Common Factor of 98,72,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,72,524 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 98,72,524 . The biggest common factor number is the GCF number.
So the greatest common factor 98,72,524 is 2.


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 692/98, 735/72, 332/524

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 692/98, 735/72, 332/524?

Answer: LCM of Numerators as per given numbers 692/98, 735/72, 332/524 is

LCM of Numerators i.e. for 692,735,332 is 42215460

GCF of denominators i.e. for 98,72,524 is 2.

Thus, LCM of Fractions is 21107730.Finally, LCM of Fractions for 692/98, 735/72, 332/524 is 21107730.