Least Common Multiple of 61/229, 16/890, 364/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/229, 16/890, 364/930 quickly i.e. 88816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/229, 16/890, 364/930 is 88816.

LCM(61/229, 16/890, 364/930) = 88816

LCM of 61/229, 16/890, 364/930

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 61/229,16/890,364/930

Given numbers are 61/229,16/890,364/930

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 61,16,364

Least Common Multiple of Numerators i.e. LCM of 61,16,364 is 88816.

GCF of Denominators means GCF of 229,890,930 as per the given fractions.

GCF of 229,890,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,16,364

LCM of Fractions 61/229,16/890,364/930 is 88816

2 61, 16, 364
2 61, 8, 182
61, 4, 91

∴ So the LCM of the given numbers is 2 x 2 x 61 x 4 x 91 = 88816

Least Common Multiple of 61,16,364 with GCF Formula

Least Common Multiple of 61,16,364 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 61,16,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,16,364) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,16,364) x common factors =1 x 4 = 4

LCM(61,16,364) = ( 61 × 16 × 364 ) / 4

LCM(61,16,364) = 355264 / 4

LCM(61,16,364) = 88816


Lets's calculate GCF of 229,890,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88816/1

Therefore the LCM of Fractions 61/229,16/890,364/930 is 88816

Greatest Common Factor of 229,890,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,890,930 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 229,890,930 . The biggest common factor number is the GCF number.
So the greatest common factor 229,890,930 is 1.


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 61/229, 16/890, 364/930

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 61/229, 16/890, 364/930?

Answer: LCM of Numerators as per given numbers 61/229, 16/890, 364/930 is

LCM of Numerators i.e. for 61,16,364 is 88816

GCF of denominators i.e. for 229,890,930 is 1.

Thus, LCM of Fractions is 88816.Finally, LCM of Fractions for 61/229, 16/890, 364/930 is 88816.