Least Common Multiple of 100/974, 7830/1336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/974, 7830/1336 quickly i.e. 39150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/974, 7830/1336 is 39150.

LCM(100/974, 7830/1336) = 39150

LCM of 100/974, 7830/1336

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 100/974,7830/1336

Given numbers are 100/974,7830/1336

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 100,7830

Least Common Multiple of Numerators i.e. LCM of 100,7830 is 78300.

GCF of Denominators means GCF of 974,1336 as per the given fractions.

GCF of 974,1336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,7830

LCM of Fractions 100/974,7830/1336 is 39150

2 100, 7830
5 50, 3915
10, 783

∴ So the LCM of the given numbers is 2 x 5 x 10 x 783 = 78300

Least Common Multiple of 100,7830 with GCF Formula

Least Common Multiple of 100,7830 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 100,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7830) = 10

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

GCF(100,7830) x common factors =10 x 1 = 10

LCM(100,7830) = ( 100 × 7830 ) / 10

LCM(100,7830) = 783000 / 10

LCM(100,7830) = 78300


Lets's calculate GCF of 974,1336

2 974, 1336
487, 668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78300/2

Therefore the LCM of Fractions 100/974,7830/1336 is 39150

Greatest Common Factor of 974,1336 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,1336 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 1336

List of positive integer factors of 1336 that divides 1336 without a remainder.

1,2,4,8,167,334,668,1336

Greatest Common Factor

We found the factors 974,1336 . The biggest common factor number is the GCF number.
So the greatest common factor 974,1336 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 100/974, 7830/1336

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 100/974, 7830/1336?

Answer: LCM of Numerators as per given numbers 100/974, 7830/1336 is

LCM of Numerators i.e. for 100,7830 is 78300

GCF of denominators i.e. for 974,1336 is 2.

Thus, LCM of Fractions is 39150.Finally, LCM of Fractions for 100/974, 7830/1336 is 39150.