Least Common Multiple of 740/84, 818/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 740/84, 818/374 quickly i.e. 151330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/84, 818/374 is 151330.

LCM(740/84, 818/374) = 151330

LCM of 740/84, 818/374

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 740/84,818/374

Given numbers are 740/84,818/374

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 740,818

Least Common Multiple of Numerators i.e. LCM of 740,818 is 302660.

GCF of Denominators means GCF of 84,374 as per the given fractions.

GCF of 84,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,818

LCM of Fractions 740/84,818/374 is 151330

2 740, 818
370, 409

∴ So the LCM of the given numbers is 2 x 370 x 409 = 302660

Least Common Multiple of 740,818 with GCF Formula

Least Common Multiple of 740,818 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 740,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,818) = 2

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

GCF(740,818) x common factors =2 x 1 = 2

LCM(740,818) = ( 740 × 818 ) / 2

LCM(740,818) = 605320 / 2

LCM(740,818) = 302660


Lets's calculate GCF of 84,374

2 84, 374
42, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302660/2

Therefore the LCM of Fractions 740/84,818/374 is 151330

Greatest Common Factor of 84,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,374 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 84,374 . The biggest common factor number is the GCF number.
So the greatest common factor 84,374 is 2.


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 740/84, 818/374

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 740/84, 818/374?

Answer: LCM of Numerators as per given numbers 740/84, 818/374 is

LCM of Numerators i.e. for 740,818 is 302660

GCF of denominators i.e. for 84,374 is 2.

Thus, LCM of Fractions is 151330.Finally, LCM of Fractions for 740/84, 818/374 is 151330.