Least Common Multiple of 643/98, 178/35, 150/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 643/98, 178/35, 150/558 quickly i.e. 8584050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/98, 178/35, 150/558 is 8584050.

LCM(643/98, 178/35, 150/558) = 8584050

LCM of 643/98, 178/35, 150/558

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 643/98,178/35,150/558

Given numbers are 643/98,178/35,150/558

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 643,178,150

Least Common Multiple of Numerators i.e. LCM of 643,178,150 is 8584050.

GCF of Denominators means GCF of 98,35,558 as per the given fractions.

GCF of 98,35,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,178,150

LCM of Fractions 643/98,178/35,150/558 is 8584050

2 643, 178, 150
643, 89, 75

∴ So the LCM of the given numbers is 2 x 643 x 89 x 75 = 8584050

Least Common Multiple of 643,178,150 with GCF Formula

Least Common Multiple of 643,178,150 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 643,178,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,178,150) = 1

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

GCF(643,178,150) x common factors =1 x 2 = 2

LCM(643,178,150) = ( 643 × 178 × 150 ) / 2

LCM(643,178,150) = 17168100 / 2

LCM(643,178,150) = 8584050


Lets's calculate GCF of 98,35,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8584050/1

Therefore the LCM of Fractions 643/98,178/35,150/558 is 8584050

Greatest Common Factor of 98,35,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,35,558 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 98,35,558 . The biggest common factor number is the GCF number.
So the greatest common factor 98,35,558 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 643/98, 178/35, 150/558

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 643/98, 178/35, 150/558?

Answer: LCM of Numerators as per given numbers 643/98, 178/35, 150/558 is

LCM of Numerators i.e. for 643,178,150 is 8584050

GCF of denominators i.e. for 98,35,558 is 1.

Thus, LCM of Fractions is 8584050.Finally, LCM of Fractions for 643/98, 178/35, 150/558 is 8584050.