Least Common Multiple of 1655/869, 4538/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1655/869, 4538/458 quickly i.e. 7510390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1655/869, 4538/458 is 7510390.

LCM(1655/869, 4538/458) = 7510390

LCM of 1655/869, 4538/458

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 1655/869,4538/458

Given numbers are 1655/869,4538/458

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 1655,4538

Least Common Multiple of Numerators i.e. LCM of 1655,4538 is 7510390.

GCF of Denominators means GCF of 869,458 as per the given fractions.

GCF of 869,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1655,4538

LCM of Fractions 1655/869,4538/458 is 7510390

Given numbers has no common factors except 1. So, there LCM is their product i.e 7510390

Least Common Multiple of 1655,4538 with GCF Formula

Least Common Multiple of 1655,4538 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 1655,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1655,4538) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1655,4538) x common factors =1 x 1 = 1

LCM(1655,4538) = ( 1655 × 4538 ) / 1

LCM(1655,4538) = 7510390 / 1

LCM(1655,4538) = 7510390


Lets's calculate GCF of 869,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7510390/1

Therefore the LCM of Fractions 1655/869,4538/458 is 7510390

Greatest Common Factor of 869,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,458 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 869,458 . The biggest common factor number is the GCF number.
So the greatest common factor 869,458 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1655/869, 4538/458

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 1655/869, 4538/458?

Answer: LCM of Numerators as per given numbers 1655/869, 4538/458 is

LCM of Numerators i.e. for 1655,4538 is 7510390

GCF of denominators i.e. for 869,458 is 1.

Thus, LCM of Fractions is 7510390.Finally, LCM of Fractions for 1655/869, 4538/458 is 7510390.