Least Common Multiple of 85/310, 12/748, 986/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/310, 12/748, 986/804 quickly i.e. 14790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/310, 12/748, 986/804 is 14790.

LCM(85/310, 12/748, 986/804) = 14790

LCM of 85/310, 12/748, 986/804

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 85/310,12/748,986/804

Given numbers are 85/310,12/748,986/804

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 85,12,986

Least Common Multiple of Numerators i.e. LCM of 85,12,986 is 29580.

GCF of Denominators means GCF of 310,748,804 as per the given fractions.

GCF of 310,748,804 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,12,986

LCM of Fractions 85/310,12/748,986/804 is 14790

2 85, 12, 986
17 85, 6, 493
5, 6, 29

∴ So the LCM of the given numbers is 2 x 17 x 5 x 6 x 29 = 29580

Least Common Multiple of 85,12,986 with GCF Formula

Least Common Multiple of 85,12,986 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 85,12,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,12,986) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(85,12,986) x common factors =1 x 34 = 34

LCM(85,12,986) = ( 85 × 12 × 986 ) / 34

LCM(85,12,986) = 1005720 / 34

LCM(85,12,986) = 29580


Lets's calculate GCF of 310,748,804

2 310, 748, 804
155, 374, 402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29580/2

Therefore the LCM of Fractions 85/310,12/748,986/804 is 14790

Greatest Common Factor of 310,748,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,748,804 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 310,748,804 . The biggest common factor number is the GCF number.
So the greatest common factor 310,748,804 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 85/310, 12/748, 986/804

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 85/310, 12/748, 986/804?

Answer: LCM of Numerators as per given numbers 85/310, 12/748, 986/804 is

LCM of Numerators i.e. for 85,12,986 is 29580

GCF of denominators i.e. for 310,748,804 is 2.

Thus, LCM of Fractions is 14790.Finally, LCM of Fractions for 85/310, 12/748, 986/804 is 14790.