Least Common Multiple of 2890/926, 4947/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2890/926, 4947/434 quickly i.e. 420495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2890/926, 4947/434 is 420495.

LCM(2890/926, 4947/434) = 420495

LCM of 2890/926, 4947/434

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 2890/926,4947/434

Given numbers are 2890/926,4947/434

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 2890,4947

Least Common Multiple of Numerators i.e. LCM of 2890,4947 is 840990.

GCF of Denominators means GCF of 926,434 as per the given fractions.

GCF of 926,434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2890,4947

LCM of Fractions 2890/926,4947/434 is 420495

17 2890, 4947
170, 291

∴ So the LCM of the given numbers is 17 x 170 x 291 = 840990

Least Common Multiple of 2890,4947 with GCF Formula

Least Common Multiple of 2890,4947 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 2890,4947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2890,4947) = 17

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

GCF(2890,4947) x common factors =17 x 1 = 17

LCM(2890,4947) = ( 2890 × 4947 ) / 17

LCM(2890,4947) = 14296830 / 17

LCM(2890,4947) = 840990


Lets's calculate GCF of 926,434

2 926, 434
463, 217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840990/2

Therefore the LCM of Fractions 2890/926,4947/434 is 420495

Greatest Common Factor of 926,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,434 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 926,434 . The biggest common factor number is the GCF number.
So the greatest common factor 926,434 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2890/926, 4947/434

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 2890/926, 4947/434?

Answer: LCM of Numerators as per given numbers 2890/926, 4947/434 is

LCM of Numerators i.e. for 2890,4947 is 840990

GCF of denominators i.e. for 926,434 is 2.

Thus, LCM of Fractions is 420495.Finally, LCM of Fractions for 2890/926, 4947/434 is 420495.