Least Common Multiple of 998/92, 750/4956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/92, 750/4956 quickly i.e. 374250/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/92, 750/4956 is 374250/4.

LCM(998/92, 750/4956) = 374250/4

LCM of 998/92, 750/4956

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 998/92,750/4956

Given numbers are 998/92,750/4956

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 998,750

Least Common Multiple of Numerators i.e. LCM of 998,750 is 374250.

GCF of Denominators means GCF of 92,4956 as per the given fractions.

GCF of 92,4956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,750

LCM of Fractions 998/92,750/4956 is 374250/4

2 998, 750
499, 375

∴ So the LCM of the given numbers is 2 x 499 x 375 = 374250

Least Common Multiple of 998,750 with GCF Formula

Least Common Multiple of 998,750 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 998,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,750) = 2

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

GCF(998,750) x common factors =2 x 1 = 2

LCM(998,750) = ( 998 × 750 ) / 2

LCM(998,750) = 748500 / 2

LCM(998,750) = 374250


Lets's calculate GCF of 92,4956

2 92, 4956
2 46, 2478
23, 1239

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374250/4

Therefore the LCM of Fractions 998/92,750/4956 is 374250/4

Greatest Common Factor of 92,4956 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,4956 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Greatest Common Factor

We found the factors 92,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4956 is 4.


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 998/92, 750/4956

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 998/92, 750/4956?

Answer: LCM of Numerators as per given numbers 998/92, 750/4956 is

LCM of Numerators i.e. for 998,750 is 374250

GCF of denominators i.e. for 92,4956 is 4.

Thus, LCM of Fractions is 374250/4.Finally, LCM of Fractions for 998/92, 750/4956 is 374250/4.