Least Common Multiple of 730/30, 826/16, 894/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/30, 826/16, 894/958 quickly i.e. 67383015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/30, 826/16, 894/958 is 67383015.

LCM(730/30, 826/16, 894/958) = 67383015

LCM of 730/30, 826/16, 894/958

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 730/30,826/16,894/958

Given numbers are 730/30,826/16,894/958

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 730,826,894

Least Common Multiple of Numerators i.e. LCM of 730,826,894 is 134766030.

GCF of Denominators means GCF of 30,16,958 as per the given fractions.

GCF of 30,16,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,826,894

LCM of Fractions 730/30,826/16,894/958 is 67383015

2 730, 826, 894
365, 413, 447

∴ So the LCM of the given numbers is 2 x 365 x 413 x 447 = 134766030

Least Common Multiple of 730,826,894 with GCF Formula

Least Common Multiple of 730,826,894 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 730,826,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,826,894) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(730,826,894) x common factors =2 x 2 = 4

LCM(730,826,894) = ( 730 × 826 × 894 ) / 4

LCM(730,826,894) = 539064120 / 4

LCM(730,826,894) = 134766030


Lets's calculate GCF of 30,16,958

2 30, 16, 958
15, 8, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134766030/2

Therefore the LCM of Fractions 730/30,826/16,894/958 is 67383015

Greatest Common Factor of 30,16,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,16,958 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 30,16,958 . The biggest common factor number is the GCF number.
So the greatest common factor 30,16,958 is 2.


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 730/30, 826/16, 894/958

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 730/30, 826/16, 894/958?

Answer: LCM of Numerators as per given numbers 730/30, 826/16, 894/958 is

LCM of Numerators i.e. for 730,826,894 is 134766030

GCF of denominators i.e. for 30,16,958 is 2.

Thus, LCM of Fractions is 67383015.Finally, LCM of Fractions for 730/30, 826/16, 894/958 is 67383015.