Least Common Multiple of 457/31, 798/50, 284/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/31, 798/50, 284/985 quickly i.e. 51785412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/31, 798/50, 284/985 is 51785412.

LCM(457/31, 798/50, 284/985) = 51785412

LCM of 457/31, 798/50, 284/985

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 457/31,798/50,284/985

Given numbers are 457/31,798/50,284/985

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 457,798,284

Least Common Multiple of Numerators i.e. LCM of 457,798,284 is 51785412.

GCF of Denominators means GCF of 31,50,985 as per the given fractions.

GCF of 31,50,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,798,284

LCM of Fractions 457/31,798/50,284/985 is 51785412

2 457, 798, 284
457, 399, 142

∴ So the LCM of the given numbers is 2 x 457 x 399 x 142 = 51785412

Least Common Multiple of 457,798,284 with GCF Formula

Least Common Multiple of 457,798,284 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 457,798,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,798,284) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(457,798,284) x common factors =1 x 2 = 2

LCM(457,798,284) = ( 457 × 798 × 284 ) / 2

LCM(457,798,284) = 103570824 / 2

LCM(457,798,284) = 51785412


Lets's calculate GCF of 31,50,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51785412/1

Therefore the LCM of Fractions 457/31,798/50,284/985 is 51785412

Greatest Common Factor of 31,50,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,50,985 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 50

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

1,2,5,10,25,50

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 31,50,985 . The biggest common factor number is the GCF number.
So the greatest common factor 31,50,985 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 457/31, 798/50, 284/985

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 457/31, 798/50, 284/985?

Answer: LCM of Numerators as per given numbers 457/31, 798/50, 284/985 is

LCM of Numerators i.e. for 457,798,284 is 51785412

GCF of denominators i.e. for 31,50,985 is 1.

Thus, LCM of Fractions is 51785412.Finally, LCM of Fractions for 457/31, 798/50, 284/985 is 51785412.