Least Common Multiple of 892/49, 716/8734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/49, 716/8734 quickly i.e. 159668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/49, 716/8734 is 159668.

LCM(892/49, 716/8734) = 159668

LCM of 892/49, 716/8734

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 892/49,716/8734

Given numbers are 892/49,716/8734

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 892,716

Least Common Multiple of Numerators i.e. LCM of 892,716 is 159668.

GCF of Denominators means GCF of 49,8734 as per the given fractions.

GCF of 49,8734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,716

LCM of Fractions 892/49,716/8734 is 159668

2 892, 716
2 446, 358
223, 179

∴ So the LCM of the given numbers is 2 x 2 x 223 x 179 = 159668

Least Common Multiple of 892,716 with GCF Formula

Least Common Multiple of 892,716 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 892,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,716) = 4

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

GCF(892,716) x common factors =4 x 1 = 4

LCM(892,716) = ( 892 × 716 ) / 4

LCM(892,716) = 638672 / 4

LCM(892,716) = 159668


Lets's calculate GCF of 49,8734

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159668/1

Therefore the LCM of Fractions 892/49,716/8734 is 159668

Greatest Common Factor of 49,8734 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,8734 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 8734

List of positive integer factors of 8734 that divides 8734 without a remainder.

1,2,11,22,397,794,4367,8734

Greatest Common Factor

We found the factors 49,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 49,8734 is 1.


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 892/49, 716/8734

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 892/49, 716/8734?

Answer: LCM of Numerators as per given numbers 892/49, 716/8734 is

LCM of Numerators i.e. for 892,716 is 159668

GCF of denominators i.e. for 49,8734 is 1.

Thus, LCM of Fractions is 159668.Finally, LCM of Fractions for 892/49, 716/8734 is 159668.