Least Common Multiple of 887/196, 170/298, 924/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 887/196, 170/298, 924/402 quickly i.e. 34832490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 887/196, 170/298, 924/402 is 34832490.

LCM(887/196, 170/298, 924/402) = 34832490

LCM of 887/196, 170/298, 924/402

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 887/196,170/298,924/402

Given numbers are 887/196,170/298,924/402

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 887,170,924

Least Common Multiple of Numerators i.e. LCM of 887,170,924 is 69664980.

GCF of Denominators means GCF of 196,298,402 as per the given fractions.

GCF of 196,298,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 887,170,924

LCM of Fractions 887/196,170/298,924/402 is 34832490

2 887, 170, 924
887, 85, 462

∴ So the LCM of the given numbers is 2 x 887 x 85 x 462 = 69664980

Least Common Multiple of 887,170,924 with GCF Formula

Least Common Multiple of 887,170,924 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 887,170,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(887,170,924) = 1

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

GCF(887,170,924) x common factors =1 x 2 = 2

LCM(887,170,924) = ( 887 × 170 × 924 ) / 2

LCM(887,170,924) = 139329960 / 2

LCM(887,170,924) = 69664980


Lets's calculate GCF of 196,298,402

2 196, 298, 402
98, 149, 201

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69664980/2

Therefore the LCM of Fractions 887/196,170/298,924/402 is 34832490

Greatest Common Factor of 196,298,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,298,402 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 196,298,402 . The biggest common factor number is the GCF number.
So the greatest common factor 196,298,402 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 887/196, 170/298, 924/402

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 887/196, 170/298, 924/402?

Answer: LCM of Numerators as per given numbers 887/196, 170/298, 924/402 is

LCM of Numerators i.e. for 887,170,924 is 69664980

GCF of denominators i.e. for 196,298,402 is 2.

Thus, LCM of Fractions is 34832490.Finally, LCM of Fractions for 887/196, 170/298, 924/402 is 34832490.