Least Common Multiple of 983/28, 151/52, 606/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 983/28, 151/52, 606/958 quickly i.e. 44975199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/28, 151/52, 606/958 is 44975199.

LCM(983/28, 151/52, 606/958) = 44975199

LCM of 983/28, 151/52, 606/958

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 983/28,151/52,606/958

Given numbers are 983/28,151/52,606/958

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 983,151,606

Least Common Multiple of Numerators i.e. LCM of 983,151,606 is 89950398.

GCF of Denominators means GCF of 28,52,958 as per the given fractions.

GCF of 28,52,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,151,606

LCM of Fractions 983/28,151/52,606/958 is 44975199

Given numbers has no common factors except 1. So, there LCM is their product i.e 89950398

Least Common Multiple of 983,151,606 with GCF Formula

Least Common Multiple of 983,151,606 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 983,151,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,151,606) = 1

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

GCF(983,151,606) x common factors =1 x 1 = 1

LCM(983,151,606) = ( 983 × 151 × 606 ) / 1

LCM(983,151,606) = 89950398 / 1

LCM(983,151,606) = 89950398


Lets's calculate GCF of 28,52,958

2 28, 52, 958
14, 26, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89950398/2

Therefore the LCM of Fractions 983/28,151/52,606/958 is 44975199

Greatest Common Factor of 28,52,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,52,958 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 28,52,958 . The biggest common factor number is the GCF number.
So the greatest common factor 28,52,958 is 2.


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Frequently Asked Questions on Fractional LCM of 983/28, 151/52, 606/958

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 983/28, 151/52, 606/958?

Answer: LCM of Numerators as per given numbers 983/28, 151/52, 606/958 is

LCM of Numerators i.e. for 983,151,606 is 89950398

GCF of denominators i.e. for 28,52,958 is 2.

Thus, LCM of Fractions is 44975199.Finally, LCM of Fractions for 983/28, 151/52, 606/958 is 44975199.