Least Common Multiple of 35/545, 896/122, 478/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/545, 896/122, 478/452 quickly i.e. 1070720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/545, 896/122, 478/452 is 1070720.

LCM(35/545, 896/122, 478/452) = 1070720

LCM of 35/545, 896/122, 478/452

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 35/545,896/122,478/452

Given numbers are 35/545,896/122,478/452

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 35,896,478

Least Common Multiple of Numerators i.e. LCM of 35,896,478 is 1070720.

GCF of Denominators means GCF of 545,122,452 as per the given fractions.

GCF of 545,122,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,896,478

LCM of Fractions 35/545,896/122,478/452 is 1070720

2 35, 896, 478
7 35, 448, 239
5, 64, 239

∴ So the LCM of the given numbers is 2 x 7 x 5 x 64 x 239 = 1070720

Least Common Multiple of 35,896,478 with GCF Formula

Least Common Multiple of 35,896,478 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 35,896,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,896,478) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,896,478) x common factors =1 x 14 = 14

LCM(35,896,478) = ( 35 × 896 × 478 ) / 14

LCM(35,896,478) = 14990080 / 14

LCM(35,896,478) = 1070720


Lets's calculate GCF of 545,122,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1070720/1

Therefore the LCM of Fractions 35/545,896/122,478/452 is 1070720

Greatest Common Factor of 545,122,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,122,452 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 545,122,452 . The biggest common factor number is the GCF number.
So the greatest common factor 545,122,452 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 35/545, 896/122, 478/452

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 35/545, 896/122, 478/452?

Answer: LCM of Numerators as per given numbers 35/545, 896/122, 478/452 is

LCM of Numerators i.e. for 35,896,478 is 1070720

GCF of denominators i.e. for 545,122,452 is 1.

Thus, LCM of Fractions is 1070720.Finally, LCM of Fractions for 35/545, 896/122, 478/452 is 1070720.