Least Common Multiple of 353/734, 701/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 353/734, 701/846 quickly i.e. 247453/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/734, 701/846 is 247453/2.

LCM(353/734, 701/846) = 247453/2

LCM of 353/734, 701/846

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 353/734,701/846

Given numbers are 353/734,701/846

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 353,701

Least Common Multiple of Numerators i.e. LCM of 353,701 is 247453.

GCF of Denominators means GCF of 734,846 as per the given fractions.

GCF of 734,846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,701

LCM of Fractions 353/734,701/846 is 247453/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 247453

Least Common Multiple of 353,701 with GCF Formula

Least Common Multiple of 353,701 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 353,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,701) = 1

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

GCF(353,701) x common factors =1 x 1 = 1

LCM(353,701) = ( 353 × 701 ) / 1

LCM(353,701) = 247453 / 1

LCM(353,701) = 247453


Lets's calculate GCF of 734,846

2 734, 846
367, 423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247453/2

Therefore the LCM of Fractions 353/734,701/846 is 247453/2

Greatest Common Factor of 734,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,846 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 734,846 . The biggest common factor number is the GCF number.
So the greatest common factor 734,846 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 353/734, 701/846

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 353/734, 701/846?

Answer: LCM of Numerators as per given numbers 353/734, 701/846 is

LCM of Numerators i.e. for 353,701 is 247453

GCF of denominators i.e. for 734,846 is 2.

Thus, LCM of Fractions is 247453/2.Finally, LCM of Fractions for 353/734, 701/846 is 247453/2.