Least Common Multiple of 290/902, 2852/6918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 290/902, 2852/6918 quickly i.e. 206770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/902, 2852/6918 is 206770.

LCM(290/902, 2852/6918) = 206770

LCM of 290/902, 2852/6918

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 290/902,2852/6918

Given numbers are 290/902,2852/6918

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 290,2852

Least Common Multiple of Numerators i.e. LCM of 290,2852 is 413540.

GCF of Denominators means GCF of 902,6918 as per the given fractions.

GCF of 902,6918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,2852

LCM of Fractions 290/902,2852/6918 is 206770

2 290, 2852
145, 1426

∴ So the LCM of the given numbers is 2 x 145 x 1426 = 413540

Least Common Multiple of 290,2852 with GCF Formula

Least Common Multiple of 290,2852 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 290,2852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,2852) = 2

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

GCF(290,2852) x common factors =2 x 1 = 2

LCM(290,2852) = ( 290 × 2852 ) / 2

LCM(290,2852) = 827080 / 2

LCM(290,2852) = 413540


Lets's calculate GCF of 902,6918

2 902, 6918
451, 3459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413540/2

Therefore the LCM of Fractions 290/902,2852/6918 is 206770

Greatest Common Factor of 902,6918 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,6918 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1,2,3,6,1153,2306,3459,6918

Greatest Common Factor

We found the factors 902,6918 . The biggest common factor number is the GCF number.
So the greatest common factor 902,6918 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 290/902, 2852/6918

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 290/902, 2852/6918?

Answer: LCM of Numerators as per given numbers 290/902, 2852/6918 is

LCM of Numerators i.e. for 290,2852 is 413540

GCF of denominators i.e. for 902,6918 is 2.

Thus, LCM of Fractions is 206770.Finally, LCM of Fractions for 290/902, 2852/6918 is 206770.