Least Common Multiple of 790/890, 4909/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 790/890, 4909/284 quickly i.e. 1939055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/890, 4909/284 is 1939055.

LCM(790/890, 4909/284) = 1939055

LCM of 790/890, 4909/284

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 790/890,4909/284

Given numbers are 790/890,4909/284

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 790,4909

Least Common Multiple of Numerators i.e. LCM of 790,4909 is 3878110.

GCF of Denominators means GCF of 890,284 as per the given fractions.

GCF of 890,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,4909

LCM of Fractions 790/890,4909/284 is 1939055

Given numbers has no common factors except 1. So, there LCM is their product i.e 3878110

Least Common Multiple of 790,4909 with GCF Formula

Least Common Multiple of 790,4909 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 790,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,4909) = 1

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

GCF(790,4909) x common factors =1 x 1 = 1

LCM(790,4909) = ( 790 × 4909 ) / 1

LCM(790,4909) = 3878110 / 1

LCM(790,4909) = 3878110


Lets's calculate GCF of 890,284

2 890, 284
445, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3878110/2

Therefore the LCM of Fractions 790/890,4909/284 is 1939055

Greatest Common Factor of 890,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,284 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 890,284 . The biggest common factor number is the GCF number.
So the greatest common factor 890,284 is 2.


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Frequently Asked Questions on Fractional LCM of 790/890, 4909/284

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 790/890, 4909/284?

Answer: LCM of Numerators as per given numbers 790/890, 4909/284 is

LCM of Numerators i.e. for 790,4909 is 3878110

GCF of denominators i.e. for 890,284 is 2.

Thus, LCM of Fractions is 1939055.Finally, LCM of Fractions for 790/890, 4909/284 is 1939055.