Least Common Multiple of 83/269, 910/562, 313/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/269, 910/562, 313/692 quickly i.e. 23640890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/269, 910/562, 313/692 is 23640890.

LCM(83/269, 910/562, 313/692) = 23640890

LCM of 83/269, 910/562, 313/692

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 83/269,910/562,313/692

Given numbers are 83/269,910/562,313/692

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 83,910,313

Least Common Multiple of Numerators i.e. LCM of 83,910,313 is 23640890.

GCF of Denominators means GCF of 269,562,692 as per the given fractions.

GCF of 269,562,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,910,313

LCM of Fractions 83/269,910/562,313/692 is 23640890

Given numbers has no common factors except 1. So, there LCM is their product i.e 23640890

Least Common Multiple of 83,910,313 with GCF Formula

Least Common Multiple of 83,910,313 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 83,910,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,910,313) = 1

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

GCF(83,910,313) x common factors =1 x 1 = 1

LCM(83,910,313) = ( 83 × 910 × 313 ) / 1

LCM(83,910,313) = 23640890 / 1

LCM(83,910,313) = 23640890


Lets's calculate GCF of 269,562,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23640890/1

Therefore the LCM of Fractions 83/269,910/562,313/692 is 23640890

Greatest Common Factor of 269,562,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,562,692 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 269,562,692 . The biggest common factor number is the GCF number.
So the greatest common factor 269,562,692 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/269, 910/562, 313/692

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 83/269, 910/562, 313/692?

Answer: LCM of Numerators as per given numbers 83/269, 910/562, 313/692 is

LCM of Numerators i.e. for 83,910,313 is 23640890

GCF of denominators i.e. for 269,562,692 is 1.

Thus, LCM of Fractions is 23640890.Finally, LCM of Fractions for 83/269, 910/562, 313/692 is 23640890.