Least Common Multiple of 8698/770, 9997/2172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8698/770, 9997/2172 quickly i.e. 43476953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8698/770, 9997/2172 is 43476953.

LCM(8698/770, 9997/2172) = 43476953

LCM of 8698/770, 9997/2172

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 8698/770,9997/2172

Given numbers are 8698/770,9997/2172

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 8698,9997

Least Common Multiple of Numerators i.e. LCM of 8698,9997 is 86953906.

GCF of Denominators means GCF of 770,2172 as per the given fractions.

GCF of 770,2172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8698,9997

LCM of Fractions 8698/770,9997/2172 is 43476953

Given numbers has no common factors except 1. So, there LCM is their product i.e 86953906

Least Common Multiple of 8698,9997 with GCF Formula

Least Common Multiple of 8698,9997 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 8698,9997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8698,9997) = 1

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

GCF(8698,9997) x common factors =1 x 1 = 1

LCM(8698,9997) = ( 8698 × 9997 ) / 1

LCM(8698,9997) = 86953906 / 1

LCM(8698,9997) = 86953906


Lets's calculate GCF of 770,2172

2 770, 2172
385, 1086

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86953906/2

Therefore the LCM of Fractions 8698/770,9997/2172 is 43476953

Greatest Common Factor of 770,2172 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,2172 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1,2,3,4,6,12,181,362,543,724,1086,2172

Greatest Common Factor

We found the factors 770,2172 . The biggest common factor number is the GCF number.
So the greatest common factor 770,2172 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 8698/770, 9997/2172

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 8698/770, 9997/2172?

Answer: LCM of Numerators as per given numbers 8698/770, 9997/2172 is

LCM of Numerators i.e. for 8698,9997 is 86953906

GCF of denominators i.e. for 770,2172 is 2.

Thus, LCM of Fractions is 43476953.Finally, LCM of Fractions for 8698/770, 9997/2172 is 43476953.