Least Common Multiple of 143/832, 922/749, 301/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 143/832, 922/749, 301/641 quickly i.e. 39685646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/832, 922/749, 301/641 is 39685646.

LCM(143/832, 922/749, 301/641) = 39685646

LCM of 143/832, 922/749, 301/641

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 143/832,922/749,301/641

Given numbers are 143/832,922/749,301/641

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 143,922,301

Least Common Multiple of Numerators i.e. LCM of 143,922,301 is 39685646.

GCF of Denominators means GCF of 832,749,641 as per the given fractions.

GCF of 832,749,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,922,301

LCM of Fractions 143/832,922/749,301/641 is 39685646

Given numbers has no common factors except 1. So, there LCM is their product i.e 39685646

Least Common Multiple of 143,922,301 with GCF Formula

Least Common Multiple of 143,922,301 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 143,922,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,922,301) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(143,922,301) x common factors =1 x 1 = 1

LCM(143,922,301) = ( 143 × 922 × 301 ) / 1

LCM(143,922,301) = 39685646 / 1

LCM(143,922,301) = 39685646


Lets's calculate GCF of 832,749,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39685646/1

Therefore the LCM of Fractions 143/832,922/749,301/641 is 39685646

Greatest Common Factor of 832,749,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,749,641 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 832,749,641 . The biggest common factor number is the GCF number.
So the greatest common factor 832,749,641 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 143/832, 922/749, 301/641

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 143/832, 922/749, 301/641?

Answer: LCM of Numerators as per given numbers 143/832, 922/749, 301/641 is

LCM of Numerators i.e. for 143,922,301 is 39685646

GCF of denominators i.e. for 832,749,641 is 1.

Thus, LCM of Fractions is 39685646.Finally, LCM of Fractions for 143/832, 922/749, 301/641 is 39685646.