Least Common Multiple of 94/617, 90/800, 984/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/617, 90/800, 984/876 quickly i.e. 693720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/617, 90/800, 984/876 is 693720.

LCM(94/617, 90/800, 984/876) = 693720

LCM of 94/617, 90/800, 984/876

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 94/617,90/800,984/876

Given numbers are 94/617,90/800,984/876

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 94,90,984

Least Common Multiple of Numerators i.e. LCM of 94,90,984 is 693720.

GCF of Denominators means GCF of 617,800,876 as per the given fractions.

GCF of 617,800,876 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,90,984

LCM of Fractions 94/617,90/800,984/876 is 693720

2 94, 90, 984
3 47, 45, 492
47, 15, 164

∴ So the LCM of the given numbers is 2 x 3 x 47 x 15 x 164 = 693720

Least Common Multiple of 94,90,984 with GCF Formula

Least Common Multiple of 94,90,984 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 94,90,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,90,984) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(94,90,984) x common factors =2 x 6 = 12

LCM(94,90,984) = ( 94 × 90 × 984 ) / 12

LCM(94,90,984) = 8324640 / 12

LCM(94,90,984) = 693720


Lets's calculate GCF of 617,800,876

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693720/1

Therefore the LCM of Fractions 94/617,90/800,984/876 is 693720

Greatest Common Factor of 617,800,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,800,876 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 617,800,876 . The biggest common factor number is the GCF number.
So the greatest common factor 617,800,876 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 94/617, 90/800, 984/876

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 94/617, 90/800, 984/876?

Answer: LCM of Numerators as per given numbers 94/617, 90/800, 984/876 is

LCM of Numerators i.e. for 94,90,984 is 693720

GCF of denominators i.e. for 617,800,876 is 1.

Thus, LCM of Fractions is 693720.Finally, LCM of Fractions for 94/617, 90/800, 984/876 is 693720.