Least Common Multiple of 74/56, 669/62, 888/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/56, 669/62, 888/362 quickly i.e. 99012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/56, 669/62, 888/362 is 99012.

LCM(74/56, 669/62, 888/362) = 99012

LCM of 74/56, 669/62, 888/362

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 74/56,669/62,888/362

Given numbers are 74/56,669/62,888/362

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 74,669,888

Least Common Multiple of Numerators i.e. LCM of 74,669,888 is 198024.

GCF of Denominators means GCF of 56,62,362 as per the given fractions.

GCF of 56,62,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,669,888

LCM of Fractions 74/56,669/62,888/362 is 99012

2 74, 669, 888
3 37, 669, 444
37 37, 223, 148
1, 223, 4

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 223 x 4 = 198024

Least Common Multiple of 74,669,888 with GCF Formula

Least Common Multiple of 74,669,888 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 74,669,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,669,888) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(74,669,888) x common factors =1 x 222 = 222

LCM(74,669,888) = ( 74 × 669 × 888 ) / 222

LCM(74,669,888) = 43961328 / 222

LCM(74,669,888) = 198024


Lets's calculate GCF of 56,62,362

2 56, 62, 362
28, 31, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198024/2

Therefore the LCM of Fractions 74/56,669/62,888/362 is 99012

Greatest Common Factor of 56,62,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,62,362 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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 56,62,362 . The biggest common factor number is the GCF number.
So the greatest common factor 56,62,362 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 74/56, 669/62, 888/362

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 74/56, 669/62, 888/362?

Answer: LCM of Numerators as per given numbers 74/56, 669/62, 888/362 is

LCM of Numerators i.e. for 74,669,888 is 198024

GCF of denominators i.e. for 56,62,362 is 2.

Thus, LCM of Fractions is 99012.Finally, LCM of Fractions for 74/56, 669/62, 888/362 is 99012.