Least Common Multiple of 672/57, 855/95, 416/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 672/57, 855/95, 416/842 quickly i.e. 2489760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/57, 855/95, 416/842 is 2489760.

LCM(672/57, 855/95, 416/842) = 2489760

LCM of 672/57, 855/95, 416/842

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 672/57,855/95,416/842

Given numbers are 672/57,855/95,416/842

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 672,855,416

Least Common Multiple of Numerators i.e. LCM of 672,855,416 is 2489760.

GCF of Denominators means GCF of 57,95,842 as per the given fractions.

GCF of 57,95,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,855,416

LCM of Fractions 672/57,855/95,416/842 is 2489760

2 672, 855, 416
2 336, 855, 208
2 168, 855, 104
2 84, 855, 52
2 42, 855, 26
3 21, 855, 13
7, 285, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 285 x 13 = 2489760

Least Common Multiple of 672,855,416 with GCF Formula

Least Common Multiple of 672,855,416 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 672,855,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,855,416) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(672,855,416) x common factors =1 x 96 = 96

LCM(672,855,416) = ( 672 × 855 × 416 ) / 96

LCM(672,855,416) = 239016960 / 96

LCM(672,855,416) = 2489760


Lets's calculate GCF of 57,95,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2489760/1

Therefore the LCM of Fractions 672/57,855/95,416/842 is 2489760

Greatest Common Factor of 57,95,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,95,842 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 57,95,842 . The biggest common factor number is the GCF number.
So the greatest common factor 57,95,842 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 672/57, 855/95, 416/842

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 672/57, 855/95, 416/842?

Answer: LCM of Numerators as per given numbers 672/57, 855/95, 416/842 is

LCM of Numerators i.e. for 672,855,416 is 2489760

GCF of denominators i.e. for 57,95,842 is 1.

Thus, LCM of Fractions is 2489760.Finally, LCM of Fractions for 672/57, 855/95, 416/842 is 2489760.