Least Common Multiple of 85/551, 21/813, 998/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/551, 21/813, 998/153 quickly i.e. 1781430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/551, 21/813, 998/153 is 1781430.

LCM(85/551, 21/813, 998/153) = 1781430

LCM of 85/551, 21/813, 998/153

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 85/551,21/813,998/153

Given numbers are 85/551,21/813,998/153

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 85,21,998

Least Common Multiple of Numerators i.e. LCM of 85,21,998 is 1781430.

GCF of Denominators means GCF of 551,813,153 as per the given fractions.

GCF of 551,813,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,21,998

LCM of Fractions 85/551,21/813,998/153 is 1781430

Given numbers has no common factors except 1. So, there LCM is their product i.e 1781430

Least Common Multiple of 85,21,998 with GCF Formula

Least Common Multiple of 85,21,998 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 85,21,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,21,998) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,21,998) x common factors =1 x 1 = 1

LCM(85,21,998) = ( 85 × 21 × 998 ) / 1

LCM(85,21,998) = 1781430 / 1

LCM(85,21,998) = 1781430


Lets's calculate GCF of 551,813,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1781430/1

Therefore the LCM of Fractions 85/551,21/813,998/153 is 1781430

Greatest Common Factor of 551,813,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,813,153 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 551,813,153 . The biggest common factor number is the GCF number.
So the greatest common factor 551,813,153 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/551, 21/813, 998/153

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 85/551, 21/813, 998/153?

Answer: LCM of Numerators as per given numbers 85/551, 21/813, 998/153 is

LCM of Numerators i.e. for 85,21,998 is 1781430

GCF of denominators i.e. for 551,813,153 is 1.

Thus, LCM of Fractions is 1781430.Finally, LCM of Fractions for 85/551, 21/813, 998/153 is 1781430.