Least Common Multiple of 69/918, 76/399, 364/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/918, 76/399, 364/620 quickly i.e. 477204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/918, 76/399, 364/620 is 477204.

LCM(69/918, 76/399, 364/620) = 477204

LCM of 69/918, 76/399, 364/620

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 69/918,76/399,364/620

Given numbers are 69/918,76/399,364/620

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 69,76,364

Least Common Multiple of Numerators i.e. LCM of 69,76,364 is 477204.

GCF of Denominators means GCF of 918,399,620 as per the given fractions.

GCF of 918,399,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,76,364

LCM of Fractions 69/918,76/399,364/620 is 477204

2 69, 76, 364
2 69, 38, 182
69, 19, 91

∴ So the LCM of the given numbers is 2 x 2 x 69 x 19 x 91 = 477204

Least Common Multiple of 69,76,364 with GCF Formula

Least Common Multiple of 69,76,364 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 69,76,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,76,364) = 1

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

GCF(69,76,364) x common factors =1 x 4 = 4

LCM(69,76,364) = ( 69 × 76 × 364 ) / 4

LCM(69,76,364) = 1908816 / 4

LCM(69,76,364) = 477204


Lets's calculate GCF of 918,399,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477204/1

Therefore the LCM of Fractions 69/918,76/399,364/620 is 477204

Greatest Common Factor of 918,399,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,399,620 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 918,399,620 . The biggest common factor number is the GCF number.
So the greatest common factor 918,399,620 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 69/918, 76/399, 364/620

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 69/918, 76/399, 364/620?

Answer: LCM of Numerators as per given numbers 69/918, 76/399, 364/620 is

LCM of Numerators i.e. for 69,76,364 is 477204

GCF of denominators i.e. for 918,399,620 is 1.

Thus, LCM of Fractions is 477204.Finally, LCM of Fractions for 69/918, 76/399, 364/620 is 477204.