Least Common Multiple of 37/10, 90/354, 435/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/10, 90/354, 435/332 quickly i.e. 48285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/10, 90/354, 435/332 is 48285.

LCM(37/10, 90/354, 435/332) = 48285

LCM of 37/10, 90/354, 435/332

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 37/10,90/354,435/332

Given numbers are 37/10,90/354,435/332

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 37,90,435

Least Common Multiple of Numerators i.e. LCM of 37,90,435 is 96570.

GCF of Denominators means GCF of 10,354,332 as per the given fractions.

GCF of 10,354,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,90,435

LCM of Fractions 37/10,90/354,435/332 is 48285

3 37, 90, 435
5 37, 30, 145
37, 6, 29

∴ So the LCM of the given numbers is 3 x 5 x 37 x 6 x 29 = 96570

Least Common Multiple of 37,90,435 with GCF Formula

Least Common Multiple of 37,90,435 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 37,90,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,90,435) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(37,90,435) x common factors =1 x 15 = 15

LCM(37,90,435) = ( 37 × 90 × 435 ) / 15

LCM(37,90,435) = 1448550 / 15

LCM(37,90,435) = 96570


Lets's calculate GCF of 10,354,332

2 10, 354, 332
5, 177, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96570/2

Therefore the LCM of Fractions 37/10,90/354,435/332 is 48285

Greatest Common Factor of 10,354,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,354,332 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 10,354,332 . The biggest common factor number is the GCF number.
So the greatest common factor 10,354,332 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 37/10, 90/354, 435/332

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 37/10, 90/354, 435/332?

Answer: LCM of Numerators as per given numbers 37/10, 90/354, 435/332 is

LCM of Numerators i.e. for 37,90,435 is 96570

GCF of denominators i.e. for 10,354,332 is 2.

Thus, LCM of Fractions is 48285.Finally, LCM of Fractions for 37/10, 90/354, 435/332 is 48285.