Least Common Multiple of 45/370, 3474/8501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/370, 3474/8501 quickly i.e. 17370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/370, 3474/8501 is 17370.

LCM(45/370, 3474/8501) = 17370

LCM of 45/370, 3474/8501

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 45/370,3474/8501

Given numbers are 45/370,3474/8501

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 45,3474

Least Common Multiple of Numerators i.e. LCM of 45,3474 is 17370.

GCF of Denominators means GCF of 370,8501 as per the given fractions.

GCF of 370,8501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3474

LCM of Fractions 45/370,3474/8501 is 17370

3 45, 3474
3 15, 1158
5, 386

∴ So the LCM of the given numbers is 3 x 3 x 5 x 386 = 17370

Least Common Multiple of 45,3474 with GCF Formula

Least Common Multiple of 45,3474 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 45,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3474) = 9

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

GCF(45,3474) x common factors =9 x 1 = 9

LCM(45,3474) = ( 45 × 3474 ) / 9

LCM(45,3474) = 156330 / 9

LCM(45,3474) = 17370


Lets's calculate GCF of 370,8501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17370/1

Therefore the LCM of Fractions 45/370,3474/8501 is 17370

Greatest Common Factor of 370,8501 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,8501 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 8501

List of positive integer factors of 8501 that divides 8501 without a remainder.

1,8501

Greatest Common Factor

We found the factors 370,8501 . The biggest common factor number is the GCF number.
So the greatest common factor 370,8501 is 1.


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 45/370, 3474/8501

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 45/370, 3474/8501?

Answer: LCM of Numerators as per given numbers 45/370, 3474/8501 is

LCM of Numerators i.e. for 45,3474 is 17370

GCF of denominators i.e. for 370,8501 is 1.

Thus, LCM of Fractions is 17370.Finally, LCM of Fractions for 45/370, 3474/8501 is 17370.