Least Common Multiple of 397/87, 602/17, 416/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 397/87, 602/17, 416/154 quickly i.e. 49710752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/87, 602/17, 416/154 is 49710752.

LCM(397/87, 602/17, 416/154) = 49710752

LCM of 397/87, 602/17, 416/154

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 397/87,602/17,416/154

Given numbers are 397/87,602/17,416/154

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 397,602,416

Least Common Multiple of Numerators i.e. LCM of 397,602,416 is 49710752.

GCF of Denominators means GCF of 87,17,154 as per the given fractions.

GCF of 87,17,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,602,416

LCM of Fractions 397/87,602/17,416/154 is 49710752

2 397, 602, 416
397, 301, 208

∴ So the LCM of the given numbers is 2 x 397 x 301 x 208 = 49710752

Least Common Multiple of 397,602,416 with GCF Formula

Least Common Multiple of 397,602,416 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 397,602,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,602,416) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(397,602,416) x common factors =1 x 2 = 2

LCM(397,602,416) = ( 397 × 602 × 416 ) / 2

LCM(397,602,416) = 99421504 / 2

LCM(397,602,416) = 49710752


Lets's calculate GCF of 87,17,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49710752/1

Therefore the LCM of Fractions 397/87,602/17,416/154 is 49710752

Greatest Common Factor of 87,17,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,17,154 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 87,17,154 . The biggest common factor number is the GCF number.
So the greatest common factor 87,17,154 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 397/87, 602/17, 416/154

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 397/87, 602/17, 416/154?

Answer: LCM of Numerators as per given numbers 397/87, 602/17, 416/154 is

LCM of Numerators i.e. for 397,602,416 is 49710752

GCF of denominators i.e. for 87,17,154 is 1.

Thus, LCM of Fractions is 49710752.Finally, LCM of Fractions for 397/87, 602/17, 416/154 is 49710752.