Least Common Multiple of 90/714, 9998/3973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/714, 9998/3973 quickly i.e. 449910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/714, 9998/3973 is 449910.

LCM(90/714, 9998/3973) = 449910

LCM of 90/714, 9998/3973

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 90/714,9998/3973

Given numbers are 90/714,9998/3973

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 90,9998

Least Common Multiple of Numerators i.e. LCM of 90,9998 is 449910.

GCF of Denominators means GCF of 714,3973 as per the given fractions.

GCF of 714,3973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,9998

LCM of Fractions 90/714,9998/3973 is 449910

2 90, 9998
45, 4999

∴ So the LCM of the given numbers is 2 x 45 x 4999 = 449910

Least Common Multiple of 90,9998 with GCF Formula

Least Common Multiple of 90,9998 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 90,9998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,9998) = 2

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

GCF(90,9998) x common factors =2 x 1 = 2

LCM(90,9998) = ( 90 × 9998 ) / 2

LCM(90,9998) = 899820 / 2

LCM(90,9998) = 449910


Lets's calculate GCF of 714,3973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449910/1

Therefore the LCM of Fractions 90/714,9998/3973 is 449910

Greatest Common Factor of 714,3973 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,3973 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 3973

List of positive integer factors of 3973 that divides 3973 without a remainder.

1,29,137,3973

Greatest Common Factor

We found the factors 714,3973 . The biggest common factor number is the GCF number.
So the greatest common factor 714,3973 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/714, 9998/3973

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 90/714, 9998/3973?

Answer: LCM of Numerators as per given numbers 90/714, 9998/3973 is

LCM of Numerators i.e. for 90,9998 is 449910

GCF of denominators i.e. for 714,3973 is 1.

Thus, LCM of Fractions is 449910.Finally, LCM of Fractions for 90/714, 9998/3973 is 449910.