Least Common Multiple of 364/80, 155/13, 698/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 364/80, 155/13, 698/776 quickly i.e. 19690580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/80, 155/13, 698/776 is 19690580.

LCM(364/80, 155/13, 698/776) = 19690580

LCM of 364/80, 155/13, 698/776

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 364/80,155/13,698/776

Given numbers are 364/80,155/13,698/776

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 364,155,698

Least Common Multiple of Numerators i.e. LCM of 364,155,698 is 19690580.

GCF of Denominators means GCF of 80,13,776 as per the given fractions.

GCF of 80,13,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,155,698

LCM of Fractions 364/80,155/13,698/776 is 19690580

2 364, 155, 698
182, 155, 349

∴ So the LCM of the given numbers is 2 x 182 x 155 x 349 = 19690580

Least Common Multiple of 364,155,698 with GCF Formula

Least Common Multiple of 364,155,698 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 364,155,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,155,698) = 1

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

GCF(364,155,698) x common factors =1 x 2 = 2

LCM(364,155,698) = ( 364 × 155 × 698 ) / 2

LCM(364,155,698) = 39381160 / 2

LCM(364,155,698) = 19690580


Lets's calculate GCF of 80,13,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19690580/1

Therefore the LCM of Fractions 364/80,155/13,698/776 is 19690580

Greatest Common Factor of 80,13,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,13,776 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 80,13,776 . The biggest common factor number is the GCF number.
So the greatest common factor 80,13,776 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 364/80, 155/13, 698/776

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 364/80, 155/13, 698/776?

Answer: LCM of Numerators as per given numbers 364/80, 155/13, 698/776 is

LCM of Numerators i.e. for 364,155,698 is 19690580

GCF of denominators i.e. for 80,13,776 is 1.

Thus, LCM of Fractions is 19690580.Finally, LCM of Fractions for 364/80, 155/13, 698/776 is 19690580.