Least Common Multiple of 484/61, 453/84, 355/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 484/61, 453/84, 355/858 quickly i.e. 77834460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/61, 453/84, 355/858 is 77834460.

LCM(484/61, 453/84, 355/858) = 77834460

LCM of 484/61, 453/84, 355/858

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 484/61,453/84,355/858

Given numbers are 484/61,453/84,355/858

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 484,453,355

Least Common Multiple of Numerators i.e. LCM of 484,453,355 is 77834460.

GCF of Denominators means GCF of 61,84,858 as per the given fractions.

GCF of 61,84,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,453,355

LCM of Fractions 484/61,453/84,355/858 is 77834460

Given numbers has no common factors except 1. So, there LCM is their product i.e 77834460

Least Common Multiple of 484,453,355 with GCF Formula

Least Common Multiple of 484,453,355 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 484,453,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,453,355) = 1

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

GCF(484,453,355) x common factors =1 x 1 = 1

LCM(484,453,355) = ( 484 × 453 × 355 ) / 1

LCM(484,453,355) = 77834460 / 1

LCM(484,453,355) = 77834460


Lets's calculate GCF of 61,84,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77834460/1

Therefore the LCM of Fractions 484/61,453/84,355/858 is 77834460

Greatest Common Factor of 61,84,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,84,858 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 61,84,858 . The biggest common factor number is the GCF number.
So the greatest common factor 61,84,858 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 484/61, 453/84, 355/858

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 484/61, 453/84, 355/858?

Answer: LCM of Numerators as per given numbers 484/61, 453/84, 355/858 is

LCM of Numerators i.e. for 484,453,355 is 77834460

GCF of denominators i.e. for 61,84,858 is 1.

Thus, LCM of Fractions is 77834460.Finally, LCM of Fractions for 484/61, 453/84, 355/858 is 77834460.