Least Common Multiple of 856/64, 984/66, 740/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 856/64, 984/66, 740/282 quickly i.e. 9739140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/64, 984/66, 740/282 is 9739140.

LCM(856/64, 984/66, 740/282) = 9739140

LCM of 856/64, 984/66, 740/282

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 856/64,984/66,740/282

Given numbers are 856/64,984/66,740/282

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 856,984,740

Least Common Multiple of Numerators i.e. LCM of 856,984,740 is 19478280.

GCF of Denominators means GCF of 64,66,282 as per the given fractions.

GCF of 64,66,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,984,740

LCM of Fractions 856/64,984/66,740/282 is 9739140

2 856, 984, 740
2 428, 492, 370
2 214, 246, 185
107, 123, 185

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 123 x 185 = 19478280

Least Common Multiple of 856,984,740 with GCF Formula

Least Common Multiple of 856,984,740 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 856,984,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,984,740) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(856,984,740) x common factors =4 x 8 = 32

LCM(856,984,740) = ( 856 × 984 × 740 ) / 32

LCM(856,984,740) = 623304960 / 32

LCM(856,984,740) = 19478280


Lets's calculate GCF of 64,66,282

2 64, 66, 282
32, 33, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19478280/2

Therefore the LCM of Fractions 856/64,984/66,740/282 is 9739140

Greatest Common Factor of 64,66,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,66,282 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 64,66,282 . The biggest common factor number is the GCF number.
So the greatest common factor 64,66,282 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 856/64, 984/66, 740/282

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 856/64, 984/66, 740/282?

Answer: LCM of Numerators as per given numbers 856/64, 984/66, 740/282 is

LCM of Numerators i.e. for 856,984,740 is 19478280

GCF of denominators i.e. for 64,66,282 is 2.

Thus, LCM of Fractions is 9739140.Finally, LCM of Fractions for 856/64, 984/66, 740/282 is 9739140.