Least Common Multiple of 738/323, 826/833, 615/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/323, 826/833, 615/958 quickly i.e. 1523970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/323, 826/833, 615/958 is 1523970.

LCM(738/323, 826/833, 615/958) = 1523970

LCM of 738/323, 826/833, 615/958

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 738/323,826/833,615/958

Given numbers are 738/323,826/833,615/958

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 738,826,615

Least Common Multiple of Numerators i.e. LCM of 738,826,615 is 1523970.

GCF of Denominators means GCF of 323,833,958 as per the given fractions.

GCF of 323,833,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,826,615

LCM of Fractions 738/323,826/833,615/958 is 1523970

2 738, 826, 615
3 369, 413, 615
41 123, 413, 205
3, 413, 5

∴ So the LCM of the given numbers is 2 x 3 x 41 x 3 x 413 x 5 = 1523970

Least Common Multiple of 738,826,615 with GCF Formula

Least Common Multiple of 738,826,615 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 738,826,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,826,615) = 1

common factors(in case of two or more numbers have common factors) = 246

GCF(738,826,615) x common factors =1 x 246 = 246

LCM(738,826,615) = ( 738 × 826 × 615 ) / 246

LCM(738,826,615) = 374896620 / 246

LCM(738,826,615) = 1523970


Lets's calculate GCF of 323,833,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1523970/1

Therefore the LCM of Fractions 738/323,826/833,615/958 is 1523970

Greatest Common Factor of 323,833,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,833,958 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 323,833,958 . The biggest common factor number is the GCF number.
So the greatest common factor 323,833,958 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 738/323, 826/833, 615/958

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 738/323, 826/833, 615/958?

Answer: LCM of Numerators as per given numbers 738/323, 826/833, 615/958 is

LCM of Numerators i.e. for 738,826,615 is 1523970

GCF of denominators i.e. for 323,833,958 is 1.

Thus, LCM of Fractions is 1523970.Finally, LCM of Fractions for 738/323, 826/833, 615/958 is 1523970.