Least Common Multiple of 70/300, 68/466, 823/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/300, 68/466, 823/889 quickly i.e. 1958740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/300, 68/466, 823/889 is 1958740.

LCM(70/300, 68/466, 823/889) = 1958740

LCM of 70/300, 68/466, 823/889

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 70/300,68/466,823/889

Given numbers are 70/300,68/466,823/889

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 70,68,823

Least Common Multiple of Numerators i.e. LCM of 70,68,823 is 1958740.

GCF of Denominators means GCF of 300,466,889 as per the given fractions.

GCF of 300,466,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,68,823

LCM of Fractions 70/300,68/466,823/889 is 1958740

2 70, 68, 823
35, 34, 823

∴ So the LCM of the given numbers is 2 x 35 x 34 x 823 = 1958740

Least Common Multiple of 70,68,823 with GCF Formula

Least Common Multiple of 70,68,823 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 70,68,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,68,823) = 1

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

GCF(70,68,823) x common factors =1 x 2 = 2

LCM(70,68,823) = ( 70 × 68 × 823 ) / 2

LCM(70,68,823) = 3917480 / 2

LCM(70,68,823) = 1958740


Lets's calculate GCF of 300,466,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1958740/1

Therefore the LCM of Fractions 70/300,68/466,823/889 is 1958740

Greatest Common Factor of 300,466,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,466,889 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 300,466,889 . The biggest common factor number is the GCF number.
So the greatest common factor 300,466,889 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 70/300, 68/466, 823/889

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 70/300, 68/466, 823/889?

Answer: LCM of Numerators as per given numbers 70/300, 68/466, 823/889 is

LCM of Numerators i.e. for 70,68,823 is 1958740

GCF of denominators i.e. for 300,466,889 is 1.

Thus, LCM of Fractions is 1958740.Finally, LCM of Fractions for 70/300, 68/466, 823/889 is 1958740.