Least Common Multiple of 76/708, 25/784, 386/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/708, 25/784, 386/672 quickly i.e. 91675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/708, 25/784, 386/672 is 91675.

LCM(76/708, 25/784, 386/672) = 91675

LCM of 76/708, 25/784, 386/672

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 76/708,25/784,386/672

Given numbers are 76/708,25/784,386/672

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 76,25,386

Least Common Multiple of Numerators i.e. LCM of 76,25,386 is 366700.

GCF of Denominators means GCF of 708,784,672 as per the given fractions.

GCF of 708,784,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,25,386

LCM of Fractions 76/708,25/784,386/672 is 91675

2 76, 25, 386
38, 25, 193

∴ So the LCM of the given numbers is 2 x 38 x 25 x 193 = 366700

Least Common Multiple of 76,25,386 with GCF Formula

Least Common Multiple of 76,25,386 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 76,25,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,25,386) = 1

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

GCF(76,25,386) x common factors =1 x 2 = 2

LCM(76,25,386) = ( 76 × 25 × 386 ) / 2

LCM(76,25,386) = 733400 / 2

LCM(76,25,386) = 366700


Lets's calculate GCF of 708,784,672

2 708, 784, 672
2 354, 392, 336
177, 196, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366700/4

Therefore the LCM of Fractions 76/708,25/784,386/672 is 91675

Greatest Common Factor of 708,784,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,784,672 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

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 708,784,672 . The biggest common factor number is the GCF number.
So the greatest common factor 708,784,672 is 4.


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 76/708, 25/784, 386/672

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 76/708, 25/784, 386/672?

Answer: LCM of Numerators as per given numbers 76/708, 25/784, 386/672 is

LCM of Numerators i.e. for 76,25,386 is 366700

GCF of denominators i.e. for 708,784,672 is 4.

Thus, LCM of Fractions is 91675.Finally, LCM of Fractions for 76/708, 25/784, 386/672 is 91675.