Least Common Multiple of 106/602, 976/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/602, 976/984 quickly i.e. 25864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/602, 976/984 is 25864.

LCM(106/602, 976/984) = 25864

LCM of 106/602, 976/984

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 106/602,976/984

Given numbers are 106/602,976/984

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 106,976

Least Common Multiple of Numerators i.e. LCM of 106,976 is 51728.

GCF of Denominators means GCF of 602,984 as per the given fractions.

GCF of 602,984 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,976

LCM of Fractions 106/602,976/984 is 25864

2 106, 976
53, 488

∴ So the LCM of the given numbers is 2 x 53 x 488 = 51728

Least Common Multiple of 106,976 with GCF Formula

Least Common Multiple of 106,976 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 106,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,976) = 2

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

GCF(106,976) x common factors =2 x 1 = 2

LCM(106,976) = ( 106 × 976 ) / 2

LCM(106,976) = 103456 / 2

LCM(106,976) = 51728


Lets's calculate GCF of 602,984

2 602, 984
301, 492

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51728/2

Therefore the LCM of Fractions 106/602,976/984 is 25864

Greatest Common Factor of 602,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,984 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 602,984 . The biggest common factor number is the GCF number.
So the greatest common factor 602,984 is 2.


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 106/602, 976/984

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 106/602, 976/984?

Answer: LCM of Numerators as per given numbers 106/602, 976/984 is

LCM of Numerators i.e. for 106,976 is 51728

GCF of denominators i.e. for 602,984 is 2.

Thus, LCM of Fractions is 25864.Finally, LCM of Fractions for 106/602, 976/984 is 25864.