Least Common Multiple of 1154/340, 8489/9610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1154/340, 8489/9610 quickly i.e. 9796306/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1154/340, 8489/9610 is 9796306/10.

LCM(1154/340, 8489/9610) = 9796306/10

LCM of 1154/340, 8489/9610

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 1154/340,8489/9610

Given numbers are 1154/340,8489/9610

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 1154,8489

Least Common Multiple of Numerators i.e. LCM of 1154,8489 is 9796306.

GCF of Denominators means GCF of 340,9610 as per the given fractions.

GCF of 340,9610 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1154,8489

LCM of Fractions 1154/340,8489/9610 is 9796306/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 9796306

Least Common Multiple of 1154,8489 with GCF Formula

Least Common Multiple of 1154,8489 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 1154,8489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1154,8489) = 1

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

GCF(1154,8489) x common factors =1 x 1 = 1

LCM(1154,8489) = ( 1154 × 8489 ) / 1

LCM(1154,8489) = 9796306 / 1

LCM(1154,8489) = 9796306


Lets's calculate GCF of 340,9610

2 340, 9610
5 170, 4805
34, 961

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9796306/10

Therefore the LCM of Fractions 1154/340,8489/9610 is 9796306/10

Greatest Common Factor of 340,9610 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,9610 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 9610

List of positive integer factors of 9610 that divides 9610 without a remainder.

1,2,5,10,31,62,155,310,961,1922,4805,9610

Greatest Common Factor

We found the factors 340,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 340,9610 is 10.


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 1154/340, 8489/9610

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 1154/340, 8489/9610?

Answer: LCM of Numerators as per given numbers 1154/340, 8489/9610 is

LCM of Numerators i.e. for 1154,8489 is 9796306

GCF of denominators i.e. for 340,9610 is 10.

Thus, LCM of Fractions is 9796306/10.Finally, LCM of Fractions for 1154/340, 8489/9610 is 9796306/10.