Least Common Multiple of 382/847, 7750/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/847, 7750/550 quickly i.e. 1480250/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/847, 7750/550 is 1480250/11.

LCM(382/847, 7750/550) = 1480250/11

LCM of 382/847, 7750/550

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 382/847,7750/550

Given numbers are 382/847,7750/550

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 382,7750

Least Common Multiple of Numerators i.e. LCM of 382,7750 is 1480250.

GCF of Denominators means GCF of 847,550 as per the given fractions.

GCF of 847,550 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,7750

LCM of Fractions 382/847,7750/550 is 1480250/11

2 382, 7750
191, 3875

∴ So the LCM of the given numbers is 2 x 191 x 3875 = 1480250

Least Common Multiple of 382,7750 with GCF Formula

Least Common Multiple of 382,7750 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 382,7750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,7750) = 2

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

GCF(382,7750) x common factors =2 x 1 = 2

LCM(382,7750) = ( 382 × 7750 ) / 2

LCM(382,7750) = 2960500 / 2

LCM(382,7750) = 1480250


Lets's calculate GCF of 847,550

11 847, 550
77, 50

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1480250/11

Therefore the LCM of Fractions 382/847,7750/550 is 1480250/11

Greatest Common Factor of 847,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,550 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 847,550 . The biggest common factor number is the GCF number.
So the greatest common factor 847,550 is 11.


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 382/847, 7750/550

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 382/847, 7750/550?

Answer: LCM of Numerators as per given numbers 382/847, 7750/550 is

LCM of Numerators i.e. for 382,7750 is 1480250

GCF of denominators i.e. for 847,550 is 11.

Thus, LCM of Fractions is 1480250/11.Finally, LCM of Fractions for 382/847, 7750/550 is 1480250/11.