Least Common Multiple of 110/478, 358/880, 806/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/478, 358/880, 806/471 quickly i.e. 7935070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/478, 358/880, 806/471 is 7935070.

LCM(110/478, 358/880, 806/471) = 7935070

LCM of 110/478, 358/880, 806/471

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 110/478,358/880,806/471

Given numbers are 110/478,358/880,806/471

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 110,358,806

Least Common Multiple of Numerators i.e. LCM of 110,358,806 is 7935070.

GCF of Denominators means GCF of 478,880,471 as per the given fractions.

GCF of 478,880,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,358,806

LCM of Fractions 110/478,358/880,806/471 is 7935070

2 110, 358, 806
55, 179, 403

∴ So the LCM of the given numbers is 2 x 55 x 179 x 403 = 7935070

Least Common Multiple of 110,358,806 with GCF Formula

Least Common Multiple of 110,358,806 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 110,358,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,358,806) = 2

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

GCF(110,358,806) x common factors =2 x 2 = 4

LCM(110,358,806) = ( 110 × 358 × 806 ) / 4

LCM(110,358,806) = 31740280 / 4

LCM(110,358,806) = 7935070


Lets's calculate GCF of 478,880,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7935070/1

Therefore the LCM of Fractions 110/478,358/880,806/471 is 7935070

Greatest Common Factor of 478,880,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,880,471 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 478,880,471 . The biggest common factor number is the GCF number.
So the greatest common factor 478,880,471 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 110/478, 358/880, 806/471

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 110/478, 358/880, 806/471?

Answer: LCM of Numerators as per given numbers 110/478, 358/880, 806/471 is

LCM of Numerators i.e. for 110,358,806 is 7935070

GCF of denominators i.e. for 478,880,471 is 1.

Thus, LCM of Fractions is 7935070.Finally, LCM of Fractions for 110/478, 358/880, 806/471 is 7935070.