Least Common Multiple of 349/788, 7400/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/788, 7400/984 quickly i.e. 645650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/788, 7400/984 is 645650.

LCM(349/788, 7400/984) = 645650

LCM of 349/788, 7400/984

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 349/788,7400/984

Given numbers are 349/788,7400/984

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 349,7400

Least Common Multiple of Numerators i.e. LCM of 349,7400 is 2582600.

GCF of Denominators means GCF of 788,984 as per the given fractions.

GCF of 788,984 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,7400

LCM of Fractions 349/788,7400/984 is 645650

Given numbers has no common factors except 1. So, there LCM is their product i.e 2582600

Least Common Multiple of 349,7400 with GCF Formula

Least Common Multiple of 349,7400 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 349,7400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,7400) = 1

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

GCF(349,7400) x common factors =1 x 1 = 1

LCM(349,7400) = ( 349 × 7400 ) / 1

LCM(349,7400) = 2582600 / 1

LCM(349,7400) = 2582600


Lets's calculate GCF of 788,984

2 788, 984
2 394, 492
197, 246

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2582600/4

Therefore the LCM of Fractions 349/788,7400/984 is 645650

Greatest Common Factor of 788,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,984 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 788,984 . The biggest common factor number is the GCF number.
So the greatest common factor 788,984 is 4.


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 349/788, 7400/984

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 349/788, 7400/984?

Answer: LCM of Numerators as per given numbers 349/788, 7400/984 is

LCM of Numerators i.e. for 349,7400 is 2582600

GCF of denominators i.e. for 788,984 is 4.

Thus, LCM of Fractions is 645650.Finally, LCM of Fractions for 349/788, 7400/984 is 645650.