Least Common Multiple of 74/534, 77/700, 888/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/534, 77/700, 888/286 quickly i.e. 34188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/534, 77/700, 888/286 is 34188.

LCM(74/534, 77/700, 888/286) = 34188

LCM of 74/534, 77/700, 888/286

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 74/534,77/700,888/286

Given numbers are 74/534,77/700,888/286

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 74,77,888

Least Common Multiple of Numerators i.e. LCM of 74,77,888 is 68376.

GCF of Denominators means GCF of 534,700,286 as per the given fractions.

GCF of 534,700,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,77,888

LCM of Fractions 74/534,77/700,888/286 is 34188

2 74, 77, 888
37 37, 77, 444
1, 77, 12

∴ So the LCM of the given numbers is 2 x 37 x 1 x 77 x 12 = 68376

Least Common Multiple of 74,77,888 with GCF Formula

Least Common Multiple of 74,77,888 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 74,77,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,77,888) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(74,77,888) x common factors =1 x 74 = 74

LCM(74,77,888) = ( 74 × 77 × 888 ) / 74

LCM(74,77,888) = 5059824 / 74

LCM(74,77,888) = 68376


Lets's calculate GCF of 534,700,286

2 534, 700, 286
267, 350, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68376/2

Therefore the LCM of Fractions 74/534,77/700,888/286 is 34188

Greatest Common Factor of 534,700,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,700,286 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 534,700,286 . The biggest common factor number is the GCF number.
So the greatest common factor 534,700,286 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 74/534, 77/700, 888/286

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 74/534, 77/700, 888/286?

Answer: LCM of Numerators as per given numbers 74/534, 77/700, 888/286 is

LCM of Numerators i.e. for 74,77,888 is 68376

GCF of denominators i.e. for 534,700,286 is 2.

Thus, LCM of Fractions is 34188.Finally, LCM of Fractions for 74/534, 77/700, 888/286 is 34188.