Least Common Multiple of 290/76, 698/4774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/76, 698/4774 quickly i.e. 50605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/76, 698/4774 is 50605.

LCM(290/76, 698/4774) = 50605

LCM of 290/76, 698/4774

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 290/76,698/4774

Given numbers are 290/76,698/4774

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 290,698

Least Common Multiple of Numerators i.e. LCM of 290,698 is 101210.

GCF of Denominators means GCF of 76,4774 as per the given fractions.

GCF of 76,4774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,698

LCM of Fractions 290/76,698/4774 is 50605

2 290, 698
145, 349

∴ So the LCM of the given numbers is 2 x 145 x 349 = 101210

Least Common Multiple of 290,698 with GCF Formula

Least Common Multiple of 290,698 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 290,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,698) = 2

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

GCF(290,698) x common factors =2 x 1 = 2

LCM(290,698) = ( 290 × 698 ) / 2

LCM(290,698) = 202420 / 2

LCM(290,698) = 101210


Lets's calculate GCF of 76,4774

2 76, 4774
38, 2387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101210/2

Therefore the LCM of Fractions 290/76,698/4774 is 50605

Greatest Common Factor of 76,4774 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4774 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 4774

List of positive integer factors of 4774 that divides 4774 without a remainder.

1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774

Greatest Common Factor

We found the factors 76,4774 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4774 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 290/76, 698/4774

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 290/76, 698/4774?

Answer: LCM of Numerators as per given numbers 290/76, 698/4774 is

LCM of Numerators i.e. for 290,698 is 101210

GCF of denominators i.e. for 76,4774 is 2.

Thus, LCM of Fractions is 50605.Finally, LCM of Fractions for 290/76, 698/4774 is 50605.