Least Common Multiple of 926/85, 349/69, 653/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 926/85, 349/69, 653/332 quickly i.e. 211032622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/85, 349/69, 653/332 is 211032622.

LCM(926/85, 349/69, 653/332) = 211032622

LCM of 926/85, 349/69, 653/332

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 926/85,349/69,653/332

Given numbers are 926/85,349/69,653/332

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 926,349,653

Least Common Multiple of Numerators i.e. LCM of 926,349,653 is 211032622.

GCF of Denominators means GCF of 85,69,332 as per the given fractions.

GCF of 85,69,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,349,653

LCM of Fractions 926/85,349/69,653/332 is 211032622

Given numbers has no common factors except 1. So, there LCM is their product i.e 211032622

Least Common Multiple of 926,349,653 with GCF Formula

Least Common Multiple of 926,349,653 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 926,349,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,349,653) = 1

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

GCF(926,349,653) x common factors =1 x 1 = 1

LCM(926,349,653) = ( 926 × 349 × 653 ) / 1

LCM(926,349,653) = 211032622 / 1

LCM(926,349,653) = 211032622


Lets's calculate GCF of 85,69,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211032622/1

Therefore the LCM of Fractions 926/85,349/69,653/332 is 211032622

Greatest Common Factor of 85,69,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,69,332 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 85,69,332 . The biggest common factor number is the GCF number.
So the greatest common factor 85,69,332 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 926/85, 349/69, 653/332

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 926/85, 349/69, 653/332?

Answer: LCM of Numerators as per given numbers 926/85, 349/69, 653/332 is

LCM of Numerators i.e. for 926,349,653 is 211032622

GCF of denominators i.e. for 85,69,332 is 1.

Thus, LCM of Fractions is 211032622.Finally, LCM of Fractions for 926/85, 349/69, 653/332 is 211032622.