Least Common Multiple of 692/98, 100/9564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/98, 100/9564 quickly i.e. 8650 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, 100/9564 is 8650.

LCM(692/98, 100/9564) = 8650

LCM of 692/98, 100/9564

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 692/98,100/9564

Given numbers are 692/98,100/9564

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 692,100

Least Common Multiple of Numerators i.e. LCM of 692,100 is 17300.

GCF of Denominators means GCF of 98,9564 as per the given fractions.

GCF of 98,9564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,100

LCM of Fractions 692/98,100/9564 is 8650

2 692, 100
2 346, 50
173, 25

∴ So the LCM of the given numbers is 2 x 2 x 173 x 25 = 17300

Least Common Multiple of 692,100 with GCF Formula

Least Common Multiple of 692,100 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 692,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,100) = 4

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

GCF(692,100) x common factors =4 x 1 = 4

LCM(692,100) = ( 692 × 100 ) / 4

LCM(692,100) = 69200 / 4

LCM(692,100) = 17300


Lets's calculate GCF of 98,9564

2 98, 9564
49, 4782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17300/2

Therefore the LCM of Fractions 692/98,100/9564 is 8650

Greatest Common Factor of 98,9564 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,9564 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 9564

List of positive integer factors of 9564 that divides 9564 without a remainder.

1,2,3,4,6,12,797,1594,2391,3188,4782,9564

Greatest Common Factor

We found the factors 98,9564 . The biggest common factor number is the GCF number.
So the greatest common factor 98,9564 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, 100/9564

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, 100/9564?

Answer: LCM of Numerators as per given numbers 692/98, 100/9564 is

LCM of Numerators i.e. for 692,100 is 17300

GCF of denominators i.e. for 98,9564 is 2.

Thus, LCM of Fractions is 8650.Finally, LCM of Fractions for 692/98, 100/9564 is 8650.