Least Common Multiple of 370/45, 526/5870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/45, 526/5870 quickly i.e. 19462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/45, 526/5870 is 19462.

LCM(370/45, 526/5870) = 19462

LCM of 370/45, 526/5870

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 370/45,526/5870

Given numbers are 370/45,526/5870

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 370,526

Least Common Multiple of Numerators i.e. LCM of 370,526 is 97310.

GCF of Denominators means GCF of 45,5870 as per the given fractions.

GCF of 45,5870 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,526

LCM of Fractions 370/45,526/5870 is 19462

2 370, 526
185, 263

∴ So the LCM of the given numbers is 2 x 185 x 263 = 97310

Least Common Multiple of 370,526 with GCF Formula

Least Common Multiple of 370,526 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 370,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,526) = 2

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

GCF(370,526) x common factors =2 x 1 = 2

LCM(370,526) = ( 370 × 526 ) / 2

LCM(370,526) = 194620 / 2

LCM(370,526) = 97310


Lets's calculate GCF of 45,5870

5 45, 5870
9, 1174

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97310/5

Therefore the LCM of Fractions 370/45,526/5870 is 19462

Greatest Common Factor of 45,5870 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,5870 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 5870

List of positive integer factors of 5870 that divides 5870 without a remainder.

1,2,5,10,587,1174,2935,5870

Greatest Common Factor

We found the factors 45,5870 . The biggest common factor number is the GCF number.
So the greatest common factor 45,5870 is 5.


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 370/45, 526/5870

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 370/45, 526/5870?

Answer: LCM of Numerators as per given numbers 370/45, 526/5870 is

LCM of Numerators i.e. for 370,526 is 97310

GCF of denominators i.e. for 45,5870 is 5.

Thus, LCM of Fractions is 19462.Finally, LCM of Fractions for 370/45, 526/5870 is 19462.