Least Common Multiple of 86/942, 1240/8532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/942, 1240/8532 quickly i.e. 53320/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/942, 1240/8532 is 53320/6.

LCM(86/942, 1240/8532) = 53320/6

LCM of 86/942, 1240/8532

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 86/942,1240/8532

Given numbers are 86/942,1240/8532

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 86,1240

Least Common Multiple of Numerators i.e. LCM of 86,1240 is 53320.

GCF of Denominators means GCF of 942,8532 as per the given fractions.

GCF of 942,8532 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,1240

LCM of Fractions 86/942,1240/8532 is 53320/6

2 86, 1240
43, 620

∴ So the LCM of the given numbers is 2 x 43 x 620 = 53320

Least Common Multiple of 86,1240 with GCF Formula

Least Common Multiple of 86,1240 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 86,1240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,1240) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(86,1240) x common factors =2 x 1 = 2

LCM(86,1240) = ( 86 × 1240 ) / 2

LCM(86,1240) = 106640 / 2

LCM(86,1240) = 53320


Lets's calculate GCF of 942,8532

2 942, 8532
3 471, 4266
157, 1422

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53320/6

Therefore the LCM of Fractions 86/942,1240/8532 is 53320/6

Greatest Common Factor of 942,8532 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,8532 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 8532

List of positive integer factors of 8532 that divides 8532 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532

Greatest Common Factor

We found the factors 942,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 942,8532 is 6.


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 86/942, 1240/8532

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 86/942, 1240/8532?

Answer: LCM of Numerators as per given numbers 86/942, 1240/8532 is

LCM of Numerators i.e. for 86,1240 is 53320

GCF of denominators i.e. for 942,8532 is 6.

Thus, LCM of Fractions is 53320/6.Finally, LCM of Fractions for 86/942, 1240/8532 is 53320/6.