Least Common Multiple of 29/887, 45/148, 283/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/887, 45/148, 283/968 quickly i.e. 369315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/887, 45/148, 283/968 is 369315.

LCM(29/887, 45/148, 283/968) = 369315

LCM of 29/887, 45/148, 283/968

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 29/887,45/148,283/968

Given numbers are 29/887,45/148,283/968

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 29,45,283

Least Common Multiple of Numerators i.e. LCM of 29,45,283 is 369315.

GCF of Denominators means GCF of 887,148,968 as per the given fractions.

GCF of 887,148,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,45,283

LCM of Fractions 29/887,45/148,283/968 is 369315

Given numbers has no common factors except 1. So, there LCM is their product i.e 369315

Least Common Multiple of 29,45,283 with GCF Formula

Least Common Multiple of 29,45,283 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 29,45,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,45,283) = 1

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

GCF(29,45,283) x common factors =1 x 1 = 1

LCM(29,45,283) = ( 29 × 45 × 283 ) / 1

LCM(29,45,283) = 369315 / 1

LCM(29,45,283) = 369315


Lets's calculate GCF of 887,148,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369315/1

Therefore the LCM of Fractions 29/887,45/148,283/968 is 369315

Greatest Common Factor of 887,148,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,148,968 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 887,148,968 . The biggest common factor number is the GCF number.
So the greatest common factor 887,148,968 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 29/887, 45/148, 283/968

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 29/887, 45/148, 283/968?

Answer: LCM of Numerators as per given numbers 29/887, 45/148, 283/968 is

LCM of Numerators i.e. for 29,45,283 is 369315

GCF of denominators i.e. for 887,148,968 is 1.

Thus, LCM of Fractions is 369315.Finally, LCM of Fractions for 29/887, 45/148, 283/968 is 369315.