Least Common Multiple of 86/56, 68/884, 506/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/56, 68/884, 506/840 quickly i.e. 184943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/56, 68/884, 506/840 is 184943.

LCM(86/56, 68/884, 506/840) = 184943

LCM of 86/56, 68/884, 506/840

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 86/56,68/884,506/840

Given numbers are 86/56,68/884,506/840

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 86,68,506

Least Common Multiple of Numerators i.e. LCM of 86,68,506 is 739772.

GCF of Denominators means GCF of 56,884,840 as per the given fractions.

GCF of 56,884,840 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,68,506

LCM of Fractions 86/56,68/884,506/840 is 184943

2 86, 68, 506
43, 34, 253

∴ So the LCM of the given numbers is 2 x 43 x 34 x 253 = 739772

Least Common Multiple of 86,68,506 with GCF Formula

Least Common Multiple of 86,68,506 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 86,68,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,68,506) = 2

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

GCF(86,68,506) x common factors =2 x 2 = 4

LCM(86,68,506) = ( 86 × 68 × 506 ) / 4

LCM(86,68,506) = 2959088 / 4

LCM(86,68,506) = 739772


Lets's calculate GCF of 56,884,840

2 56, 884, 840
2 28, 442, 420
14, 221, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739772/4

Therefore the LCM of Fractions 86/56,68/884,506/840 is 184943

Greatest Common Factor of 56,884,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,884,840 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 56,884,840 . The biggest common factor number is the GCF number.
So the greatest common factor 56,884,840 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 86/56, 68/884, 506/840

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 86/56, 68/884, 506/840?

Answer: LCM of Numerators as per given numbers 86/56, 68/884, 506/840 is

LCM of Numerators i.e. for 86,68,506 is 739772

GCF of denominators i.e. for 56,884,840 is 4.

Thus, LCM of Fractions is 184943.Finally, LCM of Fractions for 86/56, 68/884, 506/840 is 184943.