Least Common Multiple of 429/89, 972/50, 150/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/89, 972/50, 150/703 quickly i.e. 3474900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/89, 972/50, 150/703 is 3474900.

LCM(429/89, 972/50, 150/703) = 3474900

LCM of 429/89, 972/50, 150/703

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 429/89,972/50,150/703

Given numbers are 429/89,972/50,150/703

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 429,972,150

Least Common Multiple of Numerators i.e. LCM of 429,972,150 is 3474900.

GCF of Denominators means GCF of 89,50,703 as per the given fractions.

GCF of 89,50,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,972,150

LCM of Fractions 429/89,972/50,150/703 is 3474900

2 429, 972, 150
3 429, 486, 75
143, 162, 25

∴ So the LCM of the given numbers is 2 x 3 x 143 x 162 x 25 = 3474900

Least Common Multiple of 429,972,150 with GCF Formula

Least Common Multiple of 429,972,150 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 429,972,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,972,150) = 3

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

GCF(429,972,150) x common factors =3 x 6 = 18

LCM(429,972,150) = ( 429 × 972 × 150 ) / 18

LCM(429,972,150) = 62548200 / 18

LCM(429,972,150) = 3474900


Lets's calculate GCF of 89,50,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3474900/1

Therefore the LCM of Fractions 429/89,972/50,150/703 is 3474900

Greatest Common Factor of 89,50,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,50,703 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 89,50,703 . The biggest common factor number is the GCF number.
So the greatest common factor 89,50,703 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 429/89, 972/50, 150/703

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 429/89, 972/50, 150/703?

Answer: LCM of Numerators as per given numbers 429/89, 972/50, 150/703 is

LCM of Numerators i.e. for 429,972,150 is 3474900

GCF of denominators i.e. for 89,50,703 is 1.

Thus, LCM of Fractions is 3474900.Finally, LCM of Fractions for 429/89, 972/50, 150/703 is 3474900.