Least Common Multiple of 85/960, 722/700, 638/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/960, 722/700, 638/838 quickly i.e. 9788515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/960, 722/700, 638/838 is 9788515.

LCM(85/960, 722/700, 638/838) = 9788515

LCM of 85/960, 722/700, 638/838

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 85/960,722/700,638/838

Given numbers are 85/960,722/700,638/838

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 85,722,638

Least Common Multiple of Numerators i.e. LCM of 85,722,638 is 19577030.

GCF of Denominators means GCF of 960,700,838 as per the given fractions.

GCF of 960,700,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,722,638

LCM of Fractions 85/960,722/700,638/838 is 9788515

2 85, 722, 638
85, 361, 319

∴ So the LCM of the given numbers is 2 x 85 x 361 x 319 = 19577030

Least Common Multiple of 85,722,638 with GCF Formula

Least Common Multiple of 85,722,638 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 85,722,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,722,638) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,722,638) x common factors =1 x 2 = 2

LCM(85,722,638) = ( 85 × 722 × 638 ) / 2

LCM(85,722,638) = 39154060 / 2

LCM(85,722,638) = 19577030


Lets's calculate GCF of 960,700,838

2 960, 700, 838
480, 350, 419

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19577030/2

Therefore the LCM of Fractions 85/960,722/700,638/838 is 9788515

Greatest Common Factor of 960,700,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,700,838 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 960,700,838 . The biggest common factor number is the GCF number.
So the greatest common factor 960,700,838 is 2.


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 85/960, 722/700, 638/838

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 85/960, 722/700, 638/838?

Answer: LCM of Numerators as per given numbers 85/960, 722/700, 638/838 is

LCM of Numerators i.e. for 85,722,638 is 19577030

GCF of denominators i.e. for 960,700,838 is 2.

Thus, LCM of Fractions is 9788515.Finally, LCM of Fractions for 85/960, 722/700, 638/838 is 9788515.