Least Common Multiple of 792/50, 858/67, 322/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/50, 858/67, 322/896 quickly i.e. 1657656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/50, 858/67, 322/896 is 1657656.

LCM(792/50, 858/67, 322/896) = 1657656

LCM of 792/50, 858/67, 322/896

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 792/50,858/67,322/896

Given numbers are 792/50,858/67,322/896

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 792,858,322

Least Common Multiple of Numerators i.e. LCM of 792,858,322 is 1657656.

GCF of Denominators means GCF of 50,67,896 as per the given fractions.

GCF of 50,67,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,858,322

LCM of Fractions 792/50,858/67,322/896 is 1657656

2 792, 858, 322
3 396, 429, 161
11 132, 143, 161
12, 13, 161

∴ So the LCM of the given numbers is 2 x 3 x 11 x 12 x 13 x 161 = 1657656

Least Common Multiple of 792,858,322 with GCF Formula

Least Common Multiple of 792,858,322 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 792,858,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,858,322) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(792,858,322) x common factors =2 x 66 = 132

LCM(792,858,322) = ( 792 × 858 × 322 ) / 132

LCM(792,858,322) = 218810592 / 132

LCM(792,858,322) = 1657656


Lets's calculate GCF of 50,67,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1657656/1

Therefore the LCM of Fractions 792/50,858/67,322/896 is 1657656

Greatest Common Factor of 50,67,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,67,896 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 50,67,896 . The biggest common factor number is the GCF number.
So the greatest common factor 50,67,896 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 792/50, 858/67, 322/896

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 792/50, 858/67, 322/896?

Answer: LCM of Numerators as per given numbers 792/50, 858/67, 322/896 is

LCM of Numerators i.e. for 792,858,322 is 1657656

GCF of denominators i.e. for 50,67,896 is 1.

Thus, LCM of Fractions is 1657656.Finally, LCM of Fractions for 792/50, 858/67, 322/896 is 1657656.