Least Common Multiple of 370/359, 675/719, 382/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/359, 675/719, 382/493 quickly i.e. 9540450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/359, 675/719, 382/493 is 9540450.

LCM(370/359, 675/719, 382/493) = 9540450

LCM of 370/359, 675/719, 382/493

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 370/359,675/719,382/493

Given numbers are 370/359,675/719,382/493

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 370,675,382

Least Common Multiple of Numerators i.e. LCM of 370,675,382 is 9540450.

GCF of Denominators means GCF of 359,719,493 as per the given fractions.

GCF of 359,719,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,675,382

LCM of Fractions 370/359,675/719,382/493 is 9540450

2 370, 675, 382
5 185, 675, 191
37, 135, 191

∴ So the LCM of the given numbers is 2 x 5 x 37 x 135 x 191 = 9540450

Least Common Multiple of 370,675,382 with GCF Formula

Least Common Multiple of 370,675,382 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 370,675,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,675,382) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(370,675,382) x common factors =1 x 10 = 10

LCM(370,675,382) = ( 370 × 675 × 382 ) / 10

LCM(370,675,382) = 95404500 / 10

LCM(370,675,382) = 9540450


Lets's calculate GCF of 359,719,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9540450/1

Therefore the LCM of Fractions 370/359,675/719,382/493 is 9540450

Greatest Common Factor of 359,719,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,719,493 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 359,719,493 . The biggest common factor number is the GCF number.
So the greatest common factor 359,719,493 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 370/359, 675/719, 382/493

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 370/359, 675/719, 382/493?

Answer: LCM of Numerators as per given numbers 370/359, 675/719, 382/493 is

LCM of Numerators i.e. for 370,675,382 is 9540450

GCF of denominators i.e. for 359,719,493 is 1.

Thus, LCM of Fractions is 9540450.Finally, LCM of Fractions for 370/359, 675/719, 382/493 is 9540450.