Least Common Multiple of 902/896, 9699/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 902/896, 9699/100 quickly i.e. 8748498/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/896, 9699/100 is 8748498/4.

LCM(902/896, 9699/100) = 8748498/4

LCM of 902/896, 9699/100

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 902/896,9699/100

Given numbers are 902/896,9699/100

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 902,9699

Least Common Multiple of Numerators i.e. LCM of 902,9699 is 8748498.

GCF of Denominators means GCF of 896,100 as per the given fractions.

GCF of 896,100 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,9699

LCM of Fractions 902/896,9699/100 is 8748498/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 8748498

Least Common Multiple of 902,9699 with GCF Formula

Least Common Multiple of 902,9699 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 902,9699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,9699) = 1

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

GCF(902,9699) x common factors =1 x 1 = 1

LCM(902,9699) = ( 902 × 9699 ) / 1

LCM(902,9699) = 8748498 / 1

LCM(902,9699) = 8748498


Lets's calculate GCF of 896,100

2 896, 100
2 448, 50
224, 25

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8748498/4

Therefore the LCM of Fractions 902/896,9699/100 is 8748498/4

Greatest Common Factor of 896,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,100 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 896,100 . The biggest common factor number is the GCF number.
So the greatest common factor 896,100 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 902/896, 9699/100

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 902/896, 9699/100?

Answer: LCM of Numerators as per given numbers 902/896, 9699/100 is

LCM of Numerators i.e. for 902,9699 is 8748498

GCF of denominators i.e. for 896,100 is 4.

Thus, LCM of Fractions is 8748498/4.Finally, LCM of Fractions for 902/896, 9699/100 is 8748498/4.