Least Common Multiple of 7000/359, 8338/6160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7000/359, 8338/6160 quickly i.e. 29183000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7000/359, 8338/6160 is 29183000.

LCM(7000/359, 8338/6160) = 29183000

LCM of 7000/359, 8338/6160

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 7000/359,8338/6160

Given numbers are 7000/359,8338/6160

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 7000,8338

Least Common Multiple of Numerators i.e. LCM of 7000,8338 is 29183000.

GCF of Denominators means GCF of 359,6160 as per the given fractions.

GCF of 359,6160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7000,8338

LCM of Fractions 7000/359,8338/6160 is 29183000

2 7000, 8338
3500, 4169

∴ So the LCM of the given numbers is 2 x 3500 x 4169 = 29183000

Least Common Multiple of 7000,8338 with GCF Formula

Least Common Multiple of 7000,8338 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 7000,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7000,8338) = 2

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

GCF(7000,8338) x common factors =2 x 1 = 2

LCM(7000,8338) = ( 7000 × 8338 ) / 2

LCM(7000,8338) = 58366000 / 2

LCM(7000,8338) = 29183000


Lets's calculate GCF of 359,6160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29183000/1

Therefore the LCM of Fractions 7000/359,8338/6160 is 29183000

Greatest Common Factor of 359,6160 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,6160 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 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160

Greatest Common Factor

We found the factors 359,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 359,6160 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 7000/359, 8338/6160

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 7000/359, 8338/6160?

Answer: LCM of Numerators as per given numbers 7000/359, 8338/6160 is

LCM of Numerators i.e. for 7000,8338 is 29183000

GCF of denominators i.e. for 359,6160 is 1.

Thus, LCM of Fractions is 29183000.Finally, LCM of Fractions for 7000/359, 8338/6160 is 29183000.