Least Common Multiple of 72/429, 76/998, 750/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/429, 76/998, 750/735 quickly i.e. 171000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/429, 76/998, 750/735 is 171000.

LCM(72/429, 76/998, 750/735) = 171000

LCM of 72/429, 76/998, 750/735

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 72/429,76/998,750/735

Given numbers are 72/429,76/998,750/735

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 72,76,750

Least Common Multiple of Numerators i.e. LCM of 72,76,750 is 171000.

GCF of Denominators means GCF of 429,998,735 as per the given fractions.

GCF of 429,998,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,76,750

LCM of Fractions 72/429,76/998,750/735 is 171000

2 72, 76, 750
2 36, 38, 375
3 18, 19, 375
6, 19, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 19 x 125 = 171000

Least Common Multiple of 72,76,750 with GCF Formula

Least Common Multiple of 72,76,750 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 72,76,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,76,750) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(72,76,750) x common factors =2 x 12 = 24

LCM(72,76,750) = ( 72 × 76 × 750 ) / 24

LCM(72,76,750) = 4104000 / 24

LCM(72,76,750) = 171000


Lets's calculate GCF of 429,998,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171000/1

Therefore the LCM of Fractions 72/429,76/998,750/735 is 171000

Greatest Common Factor of 429,998,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,998,735 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 429,998,735 . The biggest common factor number is the GCF number.
So the greatest common factor 429,998,735 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 72/429, 76/998, 750/735

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 72/429, 76/998, 750/735?

Answer: LCM of Numerators as per given numbers 72/429, 76/998, 750/735 is

LCM of Numerators i.e. for 72,76,750 is 171000

GCF of denominators i.e. for 429,998,735 is 1.

Thus, LCM of Fractions is 171000.Finally, LCM of Fractions for 72/429, 76/998, 750/735 is 171000.