Least Common Multiple of 290/119, 9251/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/119, 9251/805 quickly i.e. 92510/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/119, 9251/805 is 92510/7.

LCM(290/119, 9251/805) = 92510/7

LCM of 290/119, 9251/805

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 290/119,9251/805

Given numbers are 290/119,9251/805

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 290,9251

Least Common Multiple of Numerators i.e. LCM of 290,9251 is 92510.

GCF of Denominators means GCF of 119,805 as per the given fractions.

GCF of 119,805 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,9251

LCM of Fractions 290/119,9251/805 is 92510/7

29 290, 9251
10, 319

∴ So the LCM of the given numbers is 29 x 10 x 319 = 92510

Least Common Multiple of 290,9251 with GCF Formula

Least Common Multiple of 290,9251 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 290,9251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,9251) = 29

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

GCF(290,9251) x common factors =29 x 1 = 29

LCM(290,9251) = ( 290 × 9251 ) / 29

LCM(290,9251) = 2682790 / 29

LCM(290,9251) = 92510


Lets's calculate GCF of 119,805

7 119, 805
17, 115

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92510/7

Therefore the LCM of Fractions 290/119,9251/805 is 92510/7

Greatest Common Factor of 119,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,805 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 119,805 . The biggest common factor number is the GCF number.
So the greatest common factor 119,805 is 7.


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 290/119, 9251/805

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 290/119, 9251/805?

Answer: LCM of Numerators as per given numbers 290/119, 9251/805 is

LCM of Numerators i.e. for 290,9251 is 92510

GCF of denominators i.e. for 119,805 is 7.

Thus, LCM of Fractions is 92510/7.Finally, LCM of Fractions for 290/119, 9251/805 is 92510/7.