Least Common Multiple of 750/940, 353/528, 230/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/940, 353/528, 230/734 quickly i.e. 3044625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/940, 353/528, 230/734 is 3044625.

LCM(750/940, 353/528, 230/734) = 3044625

LCM of 750/940, 353/528, 230/734

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 750/940,353/528,230/734

Given numbers are 750/940,353/528,230/734

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 750,353,230

Least Common Multiple of Numerators i.e. LCM of 750,353,230 is 6089250.

GCF of Denominators means GCF of 940,528,734 as per the given fractions.

GCF of 940,528,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,353,230

LCM of Fractions 750/940,353/528,230/734 is 3044625

2 750, 353, 230
5 375, 353, 115
75, 353, 23

∴ So the LCM of the given numbers is 2 x 5 x 75 x 353 x 23 = 6089250

Least Common Multiple of 750,353,230 with GCF Formula

Least Common Multiple of 750,353,230 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 750,353,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,353,230) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(750,353,230) x common factors =1 x 10 = 10

LCM(750,353,230) = ( 750 × 353 × 230 ) / 10

LCM(750,353,230) = 60892500 / 10

LCM(750,353,230) = 6089250


Lets's calculate GCF of 940,528,734

2 940, 528, 734
470, 264, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6089250/2

Therefore the LCM of Fractions 750/940,353/528,230/734 is 3044625

Greatest Common Factor of 940,528,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,528,734 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 734

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

1,2,367,734

Greatest Common Factor

We found the factors 940,528,734 . The biggest common factor number is the GCF number.
So the greatest common factor 940,528,734 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 750/940, 353/528, 230/734

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 750/940, 353/528, 230/734?

Answer: LCM of Numerators as per given numbers 750/940, 353/528, 230/734 is

LCM of Numerators i.e. for 750,353,230 is 6089250

GCF of denominators i.e. for 940,528,734 is 2.

Thus, LCM of Fractions is 3044625.Finally, LCM of Fractions for 750/940, 353/528, 230/734 is 3044625.