Least Common Multiple of 78/74, 145/68, 758/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/74, 145/68, 758/832 quickly i.e. 2143245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/74, 145/68, 758/832 is 2143245.

LCM(78/74, 145/68, 758/832) = 2143245

LCM of 78/74, 145/68, 758/832

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 78/74,145/68,758/832

Given numbers are 78/74,145/68,758/832

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 78,145,758

Least Common Multiple of Numerators i.e. LCM of 78,145,758 is 4286490.

GCF of Denominators means GCF of 74,68,832 as per the given fractions.

GCF of 74,68,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,145,758

LCM of Fractions 78/74,145/68,758/832 is 2143245

2 78, 145, 758
39, 145, 379

∴ So the LCM of the given numbers is 2 x 39 x 145 x 379 = 4286490

Least Common Multiple of 78,145,758 with GCF Formula

Least Common Multiple of 78,145,758 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 78,145,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,145,758) = 1

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

GCF(78,145,758) x common factors =1 x 2 = 2

LCM(78,145,758) = ( 78 × 145 × 758 ) / 2

LCM(78,145,758) = 8572980 / 2

LCM(78,145,758) = 4286490


Lets's calculate GCF of 74,68,832

2 74, 68, 832
37, 34, 416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4286490/2

Therefore the LCM of Fractions 78/74,145/68,758/832 is 2143245

Greatest Common Factor of 74,68,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,68,832 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 74,68,832 . The biggest common factor number is the GCF number.
So the greatest common factor 74,68,832 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 78/74, 145/68, 758/832

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 78/74, 145/68, 758/832?

Answer: LCM of Numerators as per given numbers 78/74, 145/68, 758/832 is

LCM of Numerators i.e. for 78,145,758 is 4286490

GCF of denominators i.e. for 74,68,832 is 2.

Thus, LCM of Fractions is 2143245.Finally, LCM of Fractions for 78/74, 145/68, 758/832 is 2143245.