Least Common Multiple of 900/149, 7574/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/149, 7574/298 quickly i.e. 3408300/149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/149, 7574/298 is 3408300/149.

LCM(900/149, 7574/298) = 3408300/149

LCM of 900/149, 7574/298

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 900/149,7574/298

Given numbers are 900/149,7574/298

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 900,7574

Least Common Multiple of Numerators i.e. LCM of 900,7574 is 3408300.

GCF of Denominators means GCF of 149,298 as per the given fractions.

GCF of 149,298 is 149 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,7574

LCM of Fractions 900/149,7574/298 is 3408300/149

2 900, 7574
450, 3787

∴ So the LCM of the given numbers is 2 x 450 x 3787 = 3408300

Least Common Multiple of 900,7574 with GCF Formula

Least Common Multiple of 900,7574 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 900,7574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,7574) = 2

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

GCF(900,7574) x common factors =2 x 1 = 2

LCM(900,7574) = ( 900 × 7574 ) / 2

LCM(900,7574) = 6816600 / 2

LCM(900,7574) = 3408300


Lets's calculate GCF of 149,298

149 149, 298
1, 2

∴ So the GCF of the given numbers is 149 = 149

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3408300/149

Therefore the LCM of Fractions 900/149,7574/298 is 3408300/149

Greatest Common Factor of 149,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,298 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 149,298 . The biggest common factor number is the GCF number.
So the greatest common factor 149,298 is 149.


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 900/149, 7574/298

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 900/149, 7574/298?

Answer: LCM of Numerators as per given numbers 900/149, 7574/298 is

LCM of Numerators i.e. for 900,7574 is 3408300

GCF of denominators i.e. for 149,298 is 149.

Thus, LCM of Fractions is 3408300/149.Finally, LCM of Fractions for 900/149, 7574/298 is 3408300/149.