Least Common Multiple of 121/295, 8470/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/295, 8470/989 quickly i.e. 8470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/295, 8470/989 is 8470.

LCM(121/295, 8470/989) = 8470

LCM of 121/295, 8470/989

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 121/295,8470/989

Given numbers are 121/295,8470/989

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 121,8470

Least Common Multiple of Numerators i.e. LCM of 121,8470 is 8470.

GCF of Denominators means GCF of 295,989 as per the given fractions.

GCF of 295,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,8470

LCM of Fractions 121/295,8470/989 is 8470

11 121, 8470
11 11, 770
1, 70

∴ So the LCM of the given numbers is 11 x 11 x 1 x 70 = 8470

Least Common Multiple of 121,8470 with GCF Formula

Least Common Multiple of 121,8470 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 121,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,8470) = 121

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

GCF(121,8470) x common factors =121 x 1 = 121

LCM(121,8470) = ( 121 × 8470 ) / 121

LCM(121,8470) = 1024870 / 121

LCM(121,8470) = 8470


Lets's calculate GCF of 295,989

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8470/1

Therefore the LCM of Fractions 121/295,8470/989 is 8470

Greatest Common Factor of 295,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,989 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 295,989 . The biggest common factor number is the GCF number.
So the greatest common factor 295,989 is 1.


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 121/295, 8470/989

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 121/295, 8470/989?

Answer: LCM of Numerators as per given numbers 121/295, 8470/989 is

LCM of Numerators i.e. for 121,8470 is 8470

GCF of denominators i.e. for 295,989 is 1.

Thus, LCM of Fractions is 8470.Finally, LCM of Fractions for 121/295, 8470/989 is 8470.