Least Common Multiple of 74/92, 80/496, 640/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/92, 80/496, 640/686 quickly i.e. 11840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/92, 80/496, 640/686 is 11840.

LCM(74/92, 80/496, 640/686) = 11840

LCM of 74/92, 80/496, 640/686

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 74/92,80/496,640/686

Given numbers are 74/92,80/496,640/686

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 74,80,640

Least Common Multiple of Numerators i.e. LCM of 74,80,640 is 23680.

GCF of Denominators means GCF of 92,496,686 as per the given fractions.

GCF of 92,496,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,80,640

LCM of Fractions 74/92,80/496,640/686 is 11840

2 74, 80, 640
2 37, 40, 320
2 37, 20, 160
2 37, 10, 80
5 37, 5, 40
37, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 37 x 1 x 8 = 23680

Least Common Multiple of 74,80,640 with GCF Formula

Least Common Multiple of 74,80,640 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 74,80,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,80,640) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(74,80,640) x common factors =2 x 80 = 160

LCM(74,80,640) = ( 74 × 80 × 640 ) / 160

LCM(74,80,640) = 3788800 / 160

LCM(74,80,640) = 23680


Lets's calculate GCF of 92,496,686

2 92, 496, 686
46, 248, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23680/2

Therefore the LCM of Fractions 74/92,80/496,640/686 is 11840

Greatest Common Factor of 92,496,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,496,686 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 92,496,686 . The biggest common factor number is the GCF number.
So the greatest common factor 92,496,686 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 74/92, 80/496, 640/686

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 74/92, 80/496, 640/686?

Answer: LCM of Numerators as per given numbers 74/92, 80/496, 640/686 is

LCM of Numerators i.e. for 74,80,640 is 23680

GCF of denominators i.e. for 92,496,686 is 2.

Thus, LCM of Fractions is 11840.Finally, LCM of Fractions for 74/92, 80/496, 640/686 is 11840.