Least Common Multiple of 23/35, 630/96, 470/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/35, 630/96, 470/878 quickly i.e. 681030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/35, 630/96, 470/878 is 681030.

LCM(23/35, 630/96, 470/878) = 681030

LCM of 23/35, 630/96, 470/878

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 23/35,630/96,470/878

Given numbers are 23/35,630/96,470/878

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 23,630,470

Least Common Multiple of Numerators i.e. LCM of 23,630,470 is 681030.

GCF of Denominators means GCF of 35,96,878 as per the given fractions.

GCF of 35,96,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,630,470

LCM of Fractions 23/35,630/96,470/878 is 681030

2 23, 630, 470
5 23, 315, 235
23, 63, 47

∴ So the LCM of the given numbers is 2 x 5 x 23 x 63 x 47 = 681030

Least Common Multiple of 23,630,470 with GCF Formula

Least Common Multiple of 23,630,470 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 23,630,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,630,470) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(23,630,470) x common factors =1 x 10 = 10

LCM(23,630,470) = ( 23 × 630 × 470 ) / 10

LCM(23,630,470) = 6810300 / 10

LCM(23,630,470) = 681030


Lets's calculate GCF of 35,96,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681030/1

Therefore the LCM of Fractions 23/35,630/96,470/878 is 681030

Greatest Common Factor of 35,96,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,96,878 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 35,96,878 . The biggest common factor number is the GCF number.
So the greatest common factor 35,96,878 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 23/35, 630/96, 470/878

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 23/35, 630/96, 470/878?

Answer: LCM of Numerators as per given numbers 23/35, 630/96, 470/878 is

LCM of Numerators i.e. for 23,630,470 is 681030

GCF of denominators i.e. for 35,96,878 is 1.

Thus, LCM of Fractions is 681030.Finally, LCM of Fractions for 23/35, 630/96, 470/878 is 681030.