Least Common Multiple of 290/610, 1642/8052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/610, 1642/8052 quickly i.e. 238090/122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/610, 1642/8052 is 238090/122.

LCM(290/610, 1642/8052) = 238090/122

LCM of 290/610, 1642/8052

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 290/610,1642/8052

Given numbers are 290/610,1642/8052

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 290,1642

Least Common Multiple of Numerators i.e. LCM of 290,1642 is 238090.

GCF of Denominators means GCF of 610,8052 as per the given fractions.

GCF of 610,8052 is 122 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,1642

LCM of Fractions 290/610,1642/8052 is 238090/122

2 290, 1642
145, 821

∴ So the LCM of the given numbers is 2 x 145 x 821 = 238090

Least Common Multiple of 290,1642 with GCF Formula

Least Common Multiple of 290,1642 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 290,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,1642) = 2

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

GCF(290,1642) x common factors =2 x 1 = 2

LCM(290,1642) = ( 290 × 1642 ) / 2

LCM(290,1642) = 476180 / 2

LCM(290,1642) = 238090


Lets's calculate GCF of 610,8052

2 610, 8052
61 305, 4026
5, 66

∴ So the GCF of the given numbers is 2 x 61 = 122

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238090/122

Therefore the LCM of Fractions 290/610,1642/8052 is 238090/122

Greatest Common Factor of 610,8052 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,8052 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

Greatest Common Factor

We found the factors 610,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 610,8052 is 122.


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 290/610, 1642/8052

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 290/610, 1642/8052?

Answer: LCM of Numerators as per given numbers 290/610, 1642/8052 is

LCM of Numerators i.e. for 290,1642 is 238090

GCF of denominators i.e. for 610,8052 is 122.

Thus, LCM of Fractions is 238090/122.Finally, LCM of Fractions for 290/610, 1642/8052 is 238090/122.