Least Common Multiple of 86/774, 648/390, 902/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/774, 648/390, 902/740 quickly i.e. 6283332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/774, 648/390, 902/740 is 6283332.

LCM(86/774, 648/390, 902/740) = 6283332

LCM of 86/774, 648/390, 902/740

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 86/774,648/390,902/740

Given numbers are 86/774,648/390,902/740

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 86,648,902

Least Common Multiple of Numerators i.e. LCM of 86,648,902 is 12566664.

GCF of Denominators means GCF of 774,390,740 as per the given fractions.

GCF of 774,390,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,648,902

LCM of Fractions 86/774,648/390,902/740 is 6283332

2 86, 648, 902
43, 324, 451

∴ So the LCM of the given numbers is 2 x 43 x 324 x 451 = 12566664

Least Common Multiple of 86,648,902 with GCF Formula

Least Common Multiple of 86,648,902 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 86,648,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,648,902) = 2

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

GCF(86,648,902) x common factors =2 x 2 = 4

LCM(86,648,902) = ( 86 × 648 × 902 ) / 4

LCM(86,648,902) = 50266656 / 4

LCM(86,648,902) = 12566664


Lets's calculate GCF of 774,390,740

2 774, 390, 740
387, 195, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12566664/2

Therefore the LCM of Fractions 86/774,648/390,902/740 is 6283332

Greatest Common Factor of 774,390,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,390,740 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 774,390,740 . The biggest common factor number is the GCF number.
So the greatest common factor 774,390,740 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/774, 648/390, 902/740

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 86/774, 648/390, 902/740?

Answer: LCM of Numerators as per given numbers 86/774, 648/390, 902/740 is

LCM of Numerators i.e. for 86,648,902 is 12566664

GCF of denominators i.e. for 774,390,740 is 2.

Thus, LCM of Fractions is 6283332.Finally, LCM of Fractions for 86/774, 648/390, 902/740 is 6283332.