Least Common Multiple of 958/663, 949/838, 299/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 958/663, 949/838, 299/527 quickly i.e. 20910266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 958/663, 949/838, 299/527 is 20910266.

LCM(958/663, 949/838, 299/527) = 20910266

LCM of 958/663, 949/838, 299/527

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 958/663,949/838,299/527

Given numbers are 958/663,949/838,299/527

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 958,949,299

Least Common Multiple of Numerators i.e. LCM of 958,949,299 is 20910266.

GCF of Denominators means GCF of 663,838,527 as per the given fractions.

GCF of 663,838,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 958,949,299

LCM of Fractions 958/663,949/838,299/527 is 20910266

13 958, 949, 299
958, 73, 23

∴ So the LCM of the given numbers is 13 x 958 x 73 x 23 = 20910266

Least Common Multiple of 958,949,299 with GCF Formula

Least Common Multiple of 958,949,299 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 958,949,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,949,299) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(958,949,299) x common factors =1 x 13 = 13

LCM(958,949,299) = ( 958 × 949 × 299 ) / 13

LCM(958,949,299) = 271833458 / 13

LCM(958,949,299) = 20910266


Lets's calculate GCF of 663,838,527

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20910266/1

Therefore the LCM of Fractions 958/663,949/838,299/527 is 20910266

Greatest Common Factor of 663,838,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,838,527 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 663,838,527 . The biggest common factor number is the GCF number.
So the greatest common factor 663,838,527 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 958/663, 949/838, 299/527

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 958/663, 949/838, 299/527?

Answer: LCM of Numerators as per given numbers 958/663, 949/838, 299/527 is

LCM of Numerators i.e. for 958,949,299 is 20910266

GCF of denominators i.e. for 663,838,527 is 1.

Thus, LCM of Fractions is 20910266.Finally, LCM of Fractions for 958/663, 949/838, 299/527 is 20910266.