Least Common Multiple of 23/143, 630/746, 759/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/143, 630/746, 759/454 quickly i.e. 159390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/143, 630/746, 759/454 is 159390.

LCM(23/143, 630/746, 759/454) = 159390

LCM of 23/143, 630/746, 759/454

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 23/143,630/746,759/454

Given numbers are 23/143,630/746,759/454

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 23,630,759

Least Common Multiple of Numerators i.e. LCM of 23,630,759 is 159390.

GCF of Denominators means GCF of 143,746,454 as per the given fractions.

GCF of 143,746,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,630,759

LCM of Fractions 23/143,630/746,759/454 is 159390

3 23, 630, 759
23 23, 210, 253
1, 210, 11

∴ So the LCM of the given numbers is 3 x 23 x 1 x 210 x 11 = 159390

Least Common Multiple of 23,630,759 with GCF Formula

Least Common Multiple of 23,630,759 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 23,630,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,630,759) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(23,630,759) x common factors =1 x 69 = 69

LCM(23,630,759) = ( 23 × 630 × 759 ) / 69

LCM(23,630,759) = 10997910 / 69

LCM(23,630,759) = 159390


Lets's calculate GCF of 143,746,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159390/1

Therefore the LCM of Fractions 23/143,630/746,759/454 is 159390

Greatest Common Factor of 143,746,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,746,454 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 143,746,454 . The biggest common factor number is the GCF number.
So the greatest common factor 143,746,454 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 23/143, 630/746, 759/454

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 23/143, 630/746, 759/454?

Answer: LCM of Numerators as per given numbers 23/143, 630/746, 759/454 is

LCM of Numerators i.e. for 23,630,759 is 159390

GCF of denominators i.e. for 143,746,454 is 1.

Thus, LCM of Fractions is 159390.Finally, LCM of Fractions for 23/143, 630/746, 759/454 is 159390.