Least Common Multiple of 336/739, 6705/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 336/739, 6705/922 quickly i.e. 750960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/739, 6705/922 is 750960.

LCM(336/739, 6705/922) = 750960

LCM of 336/739, 6705/922

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 336/739,6705/922

Given numbers are 336/739,6705/922

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 336,6705

Least Common Multiple of Numerators i.e. LCM of 336,6705 is 750960.

GCF of Denominators means GCF of 739,922 as per the given fractions.

GCF of 739,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,6705

LCM of Fractions 336/739,6705/922 is 750960

3 336, 6705
112, 2235

∴ So the LCM of the given numbers is 3 x 112 x 2235 = 750960

Least Common Multiple of 336,6705 with GCF Formula

Least Common Multiple of 336,6705 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 336,6705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,6705) = 3

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

GCF(336,6705) x common factors =3 x 1 = 3

LCM(336,6705) = ( 336 × 6705 ) / 3

LCM(336,6705) = 2252880 / 3

LCM(336,6705) = 750960


Lets's calculate GCF of 739,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750960/1

Therefore the LCM of Fractions 336/739,6705/922 is 750960

Greatest Common Factor of 739,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,922 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 739,922 . The biggest common factor number is the GCF number.
So the greatest common factor 739,922 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 336/739, 6705/922

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 336/739, 6705/922?

Answer: LCM of Numerators as per given numbers 336/739, 6705/922 is

LCM of Numerators i.e. for 336,6705 is 750960

GCF of denominators i.e. for 739,922 is 1.

Thus, LCM of Fractions is 750960.Finally, LCM of Fractions for 336/739, 6705/922 is 750960.