Least Common Multiple of 924/50, 641/98, 914/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/50, 641/98, 914/560 quickly i.e. 135336894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/50, 641/98, 914/560 is 135336894.

LCM(924/50, 641/98, 914/560) = 135336894

LCM of 924/50, 641/98, 914/560

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 924/50,641/98,914/560

Given numbers are 924/50,641/98,914/560

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 924,641,914

Least Common Multiple of Numerators i.e. LCM of 924,641,914 is 270673788.

GCF of Denominators means GCF of 50,98,560 as per the given fractions.

GCF of 50,98,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,641,914

LCM of Fractions 924/50,641/98,914/560 is 135336894

2 924, 641, 914
462, 641, 457

∴ So the LCM of the given numbers is 2 x 462 x 641 x 457 = 270673788

Least Common Multiple of 924,641,914 with GCF Formula

Least Common Multiple of 924,641,914 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 924,641,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,641,914) = 1

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

GCF(924,641,914) x common factors =1 x 2 = 2

LCM(924,641,914) = ( 924 × 641 × 914 ) / 2

LCM(924,641,914) = 541347576 / 2

LCM(924,641,914) = 270673788


Lets's calculate GCF of 50,98,560

2 50, 98, 560
25, 49, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270673788/2

Therefore the LCM of Fractions 924/50,641/98,914/560 is 135336894

Greatest Common Factor of 50,98,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,98,560 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 50,98,560 . The biggest common factor number is the GCF number.
So the greatest common factor 50,98,560 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 924/50, 641/98, 914/560

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 924/50, 641/98, 914/560?

Answer: LCM of Numerators as per given numbers 924/50, 641/98, 914/560 is

LCM of Numerators i.e. for 924,641,914 is 270673788

GCF of denominators i.e. for 50,98,560 is 2.

Thus, LCM of Fractions is 135336894.Finally, LCM of Fractions for 924/50, 641/98, 914/560 is 135336894.