Least Common Multiple of 984/101, 512/265, 976/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/101, 512/265, 976/928 quickly i.e. 3841536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/101, 512/265, 976/928 is 3841536.

LCM(984/101, 512/265, 976/928) = 3841536

LCM of 984/101, 512/265, 976/928

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 984/101,512/265,976/928

Given numbers are 984/101,512/265,976/928

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 984,512,976

Least Common Multiple of Numerators i.e. LCM of 984,512,976 is 3841536.

GCF of Denominators means GCF of 101,265,928 as per the given fractions.

GCF of 101,265,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,512,976

LCM of Fractions 984/101,512/265,976/928 is 3841536

2 984, 512, 976
2 492, 256, 488
2 246, 128, 244
2 123, 64, 122
123, 32, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 123 x 32 x 61 = 3841536

Least Common Multiple of 984,512,976 with GCF Formula

Least Common Multiple of 984,512,976 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 984,512,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,512,976) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(984,512,976) x common factors =8 x 16 = 128

LCM(984,512,976) = ( 984 × 512 × 976 ) / 128

LCM(984,512,976) = 491716608 / 128

LCM(984,512,976) = 3841536


Lets's calculate GCF of 101,265,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3841536/1

Therefore the LCM of Fractions 984/101,512/265,976/928 is 3841536

Greatest Common Factor of 101,265,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,265,928 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 101,265,928 . The biggest common factor number is the GCF number.
So the greatest common factor 101,265,928 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 984/101, 512/265, 976/928

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 984/101, 512/265, 976/928?

Answer: LCM of Numerators as per given numbers 984/101, 512/265, 976/928 is

LCM of Numerators i.e. for 984,512,976 is 3841536

GCF of denominators i.e. for 101,265,928 is 1.

Thus, LCM of Fractions is 3841536.Finally, LCM of Fractions for 984/101, 512/265, 976/928 is 3841536.