Least Common Multiple of 754/150, 534/436, 933/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/150, 534/436, 933/772 quickly i.e. 31304949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/150, 534/436, 933/772 is 31304949.

LCM(754/150, 534/436, 933/772) = 31304949

LCM of 754/150, 534/436, 933/772

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 754/150,534/436,933/772

Given numbers are 754/150,534/436,933/772

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 754,534,933

Least Common Multiple of Numerators i.e. LCM of 754,534,933 is 62609898.

GCF of Denominators means GCF of 150,436,772 as per the given fractions.

GCF of 150,436,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,534,933

LCM of Fractions 754/150,534/436,933/772 is 31304949

2 754, 534, 933
3 377, 267, 933
377, 89, 311

∴ So the LCM of the given numbers is 2 x 3 x 377 x 89 x 311 = 62609898

Least Common Multiple of 754,534,933 with GCF Formula

Least Common Multiple of 754,534,933 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 754,534,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,534,933) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(754,534,933) x common factors =1 x 6 = 6

LCM(754,534,933) = ( 754 × 534 × 933 ) / 6

LCM(754,534,933) = 375659388 / 6

LCM(754,534,933) = 62609898


Lets's calculate GCF of 150,436,772

2 150, 436, 772
75, 218, 386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62609898/2

Therefore the LCM of Fractions 754/150,534/436,933/772 is 31304949

Greatest Common Factor of 150,436,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,436,772 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 150,436,772 . The biggest common factor number is the GCF number.
So the greatest common factor 150,436,772 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 754/150, 534/436, 933/772

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 754/150, 534/436, 933/772?

Answer: LCM of Numerators as per given numbers 754/150, 534/436, 933/772 is

LCM of Numerators i.e. for 754,534,933 is 62609898

GCF of denominators i.e. for 150,436,772 is 2.

Thus, LCM of Fractions is 31304949.Finally, LCM of Fractions for 754/150, 534/436, 933/772 is 31304949.