Least Common Multiple of 9897/700, 4908/6154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9897/700, 4908/6154 quickly i.e. 8095746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9897/700, 4908/6154 is 8095746.

LCM(9897/700, 4908/6154) = 8095746

LCM of 9897/700, 4908/6154

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 9897/700,4908/6154

Given numbers are 9897/700,4908/6154

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 9897,4908

Least Common Multiple of Numerators i.e. LCM of 9897,4908 is 16191492.

GCF of Denominators means GCF of 700,6154 as per the given fractions.

GCF of 700,6154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9897,4908

LCM of Fractions 9897/700,4908/6154 is 8095746

3 9897, 4908
3299, 1636

∴ So the LCM of the given numbers is 3 x 3299 x 1636 = 16191492

Least Common Multiple of 9897,4908 with GCF Formula

Least Common Multiple of 9897,4908 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 9897,4908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9897,4908) = 3

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

GCF(9897,4908) x common factors =3 x 1 = 3

LCM(9897,4908) = ( 9897 × 4908 ) / 3

LCM(9897,4908) = 48574476 / 3

LCM(9897,4908) = 16191492


Lets's calculate GCF of 700,6154

2 700, 6154
350, 3077

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16191492/2

Therefore the LCM of Fractions 9897/700,4908/6154 is 8095746

Greatest Common Factor of 700,6154 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,6154 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 6154

List of positive integer factors of 6154 that divides 6154 without a remainder.

1,2,17,34,181,362,3077,6154

Greatest Common Factor

We found the factors 700,6154 . The biggest common factor number is the GCF number.
So the greatest common factor 700,6154 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 9897/700, 4908/6154

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 9897/700, 4908/6154?

Answer: LCM of Numerators as per given numbers 9897/700, 4908/6154 is

LCM of Numerators i.e. for 9897,4908 is 16191492

GCF of denominators i.e. for 700,6154 is 2.

Thus, LCM of Fractions is 8095746.Finally, LCM of Fractions for 9897/700, 4908/6154 is 8095746.