Least Common Multiple of 54/998, 56/898, 700/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/998, 56/898, 700/850 quickly i.e. 18900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/998, 56/898, 700/850 is 18900.

LCM(54/998, 56/898, 700/850) = 18900

LCM of 54/998, 56/898, 700/850

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 54/998,56/898,700/850

Given numbers are 54/998,56/898,700/850

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 54,56,700

Least Common Multiple of Numerators i.e. LCM of 54,56,700 is 37800.

GCF of Denominators means GCF of 998,898,850 as per the given fractions.

GCF of 998,898,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,56,700

LCM of Fractions 54/998,56/898,700/850 is 18900

2 54, 56, 700
2 27, 28, 350
7 27, 14, 175
27, 2, 25

∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 2 x 25 = 37800

Least Common Multiple of 54,56,700 with GCF Formula

Least Common Multiple of 54,56,700 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 54,56,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,56,700) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(54,56,700) x common factors =2 x 28 = 56

LCM(54,56,700) = ( 54 × 56 × 700 ) / 56

LCM(54,56,700) = 2116800 / 56

LCM(54,56,700) = 37800


Lets's calculate GCF of 998,898,850

2 998, 898, 850
499, 449, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37800/2

Therefore the LCM of Fractions 54/998,56/898,700/850 is 18900

Greatest Common Factor of 998,898,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,898,850 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 998,898,850 . The biggest common factor number is the GCF number.
So the greatest common factor 998,898,850 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 54/998, 56/898, 700/850

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 54/998, 56/898, 700/850?

Answer: LCM of Numerators as per given numbers 54/998, 56/898, 700/850 is

LCM of Numerators i.e. for 54,56,700 is 37800

GCF of denominators i.e. for 998,898,850 is 2.

Thus, LCM of Fractions is 18900.Finally, LCM of Fractions for 54/998, 56/898, 700/850 is 18900.