Least Common Multiple of 74/850, 834/986, 741/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/850, 834/986, 741/512 quickly i.e. 3810963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/850, 834/986, 741/512 is 3810963.

LCM(74/850, 834/986, 741/512) = 3810963

LCM of 74/850, 834/986, 741/512

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 74/850,834/986,741/512

Given numbers are 74/850,834/986,741/512

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 74,834,741

Least Common Multiple of Numerators i.e. LCM of 74,834,741 is 7621926.

GCF of Denominators means GCF of 850,986,512 as per the given fractions.

GCF of 850,986,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,834,741

LCM of Fractions 74/850,834/986,741/512 is 3810963

2 74, 834, 741
3 37, 417, 741
37, 139, 247

∴ So the LCM of the given numbers is 2 x 3 x 37 x 139 x 247 = 7621926

Least Common Multiple of 74,834,741 with GCF Formula

Least Common Multiple of 74,834,741 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 74,834,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,834,741) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,834,741) x common factors =1 x 6 = 6

LCM(74,834,741) = ( 74 × 834 × 741 ) / 6

LCM(74,834,741) = 45731556 / 6

LCM(74,834,741) = 7621926


Lets's calculate GCF of 850,986,512

2 850, 986, 512
425, 493, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7621926/2

Therefore the LCM of Fractions 74/850,834/986,741/512 is 3810963

Greatest Common Factor of 850,986,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,986,512 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 850,986,512 . The biggest common factor number is the GCF number.
So the greatest common factor 850,986,512 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 74/850, 834/986, 741/512

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 74/850, 834/986, 741/512?

Answer: LCM of Numerators as per given numbers 74/850, 834/986, 741/512 is

LCM of Numerators i.e. for 74,834,741 is 7621926

GCF of denominators i.e. for 850,986,512 is 2.

Thus, LCM of Fractions is 3810963.Finally, LCM of Fractions for 74/850, 834/986, 741/512 is 3810963.