Least Common Multiple of 848/54, 580/21, 435/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 848/54, 580/21, 435/956 quickly i.e. 368880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 848/54, 580/21, 435/956 is 368880.

LCM(848/54, 580/21, 435/956) = 368880

LCM of 848/54, 580/21, 435/956

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 848/54,580/21,435/956

Given numbers are 848/54,580/21,435/956

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 848,580,435

Least Common Multiple of Numerators i.e. LCM of 848,580,435 is 368880.

GCF of Denominators means GCF of 54,21,956 as per the given fractions.

GCF of 54,21,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 848,580,435

LCM of Fractions 848/54,580/21,435/956 is 368880

2 848, 580, 435
2 424, 290, 435
5 212, 145, 435
29 212, 29, 87
212, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 212 x 1 x 3 = 368880

Least Common Multiple of 848,580,435 with GCF Formula

Least Common Multiple of 848,580,435 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 848,580,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,580,435) = 1

common factors(in case of two or more numbers have common factors) = 580

GCF(848,580,435) x common factors =1 x 580 = 580

LCM(848,580,435) = ( 848 × 580 × 435 ) / 580

LCM(848,580,435) = 213950400 / 580

LCM(848,580,435) = 368880


Lets's calculate GCF of 54,21,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368880/1

Therefore the LCM of Fractions 848/54,580/21,435/956 is 368880

Greatest Common Factor of 54,21,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,21,956 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 54,21,956 . The biggest common factor number is the GCF number.
So the greatest common factor 54,21,956 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 848/54, 580/21, 435/956

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 848/54, 580/21, 435/956?

Answer: LCM of Numerators as per given numbers 848/54, 580/21, 435/956 is

LCM of Numerators i.e. for 848,580,435 is 368880

GCF of denominators i.e. for 54,21,956 is 1.

Thus, LCM of Fractions is 368880.Finally, LCM of Fractions for 848/54, 580/21, 435/956 is 368880.