Least Common Multiple of 78/75, 175/36, 860/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/75, 175/36, 860/672 quickly i.e. 391300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/75, 175/36, 860/672 is 391300.

LCM(78/75, 175/36, 860/672) = 391300

LCM of 78/75, 175/36, 860/672

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 78/75,175/36,860/672

Given numbers are 78/75,175/36,860/672

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 78,175,860

Least Common Multiple of Numerators i.e. LCM of 78,175,860 is 1173900.

GCF of Denominators means GCF of 75,36,672 as per the given fractions.

GCF of 75,36,672 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,175,860

LCM of Fractions 78/75,175/36,860/672 is 391300

2 78, 175, 860
5 39, 175, 430
39, 35, 86

∴ So the LCM of the given numbers is 2 x 5 x 39 x 35 x 86 = 1173900

Least Common Multiple of 78,175,860 with GCF Formula

Least Common Multiple of 78,175,860 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 78,175,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,175,860) = 1

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

GCF(78,175,860) x common factors =1 x 10 = 10

LCM(78,175,860) = ( 78 × 175 × 860 ) / 10

LCM(78,175,860) = 11739000 / 10

LCM(78,175,860) = 1173900


Lets's calculate GCF of 75,36,672

3 75, 36, 672
25, 12, 224

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1173900/3

Therefore the LCM of Fractions 78/75,175/36,860/672 is 391300

Greatest Common Factor of 75,36,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,36,672 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 75,36,672 . The biggest common factor number is the GCF number.
So the greatest common factor 75,36,672 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 78/75, 175/36, 860/672

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 78/75, 175/36, 860/672?

Answer: LCM of Numerators as per given numbers 78/75, 175/36, 860/672 is

LCM of Numerators i.e. for 78,175,860 is 1173900

GCF of denominators i.e. for 75,36,672 is 3.

Thus, LCM of Fractions is 391300.Finally, LCM of Fractions for 78/75, 175/36, 860/672 is 391300.