Least Common Multiple of 392/760, 889/612, 234/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/760, 889/612, 234/864 quickly i.e. 1456182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/760, 889/612, 234/864 is 1456182.

LCM(392/760, 889/612, 234/864) = 1456182

LCM of 392/760, 889/612, 234/864

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 392/760,889/612,234/864

Given numbers are 392/760,889/612,234/864

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 392,889,234

Least Common Multiple of Numerators i.e. LCM of 392,889,234 is 5824728.

GCF of Denominators means GCF of 760,612,864 as per the given fractions.

GCF of 760,612,864 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,889,234

LCM of Fractions 392/760,889/612,234/864 is 1456182

2 392, 889, 234
7 196, 889, 117
28, 127, 117

∴ So the LCM of the given numbers is 2 x 7 x 28 x 127 x 117 = 5824728

Least Common Multiple of 392,889,234 with GCF Formula

Least Common Multiple of 392,889,234 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 392,889,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,889,234) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(392,889,234) x common factors =1 x 14 = 14

LCM(392,889,234) = ( 392 × 889 × 234 ) / 14

LCM(392,889,234) = 81546192 / 14

LCM(392,889,234) = 5824728


Lets's calculate GCF of 760,612,864

2 760, 612, 864
2 380, 306, 432
190, 153, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5824728/4

Therefore the LCM of Fractions 392/760,889/612,234/864 is 1456182

Greatest Common Factor of 760,612,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,612,864 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 760,612,864 . The biggest common factor number is the GCF number.
So the greatest common factor 760,612,864 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 392/760, 889/612, 234/864

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 392/760, 889/612, 234/864?

Answer: LCM of Numerators as per given numbers 392/760, 889/612, 234/864 is

LCM of Numerators i.e. for 392,889,234 is 5824728

GCF of denominators i.e. for 760,612,864 is 4.

Thus, LCM of Fractions is 1456182.Finally, LCM of Fractions for 392/760, 889/612, 234/864 is 1456182.