Least Common Multiple of 23/770, 930/636, 916/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/770, 930/636, 916/368 quickly i.e. 4898310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/770, 930/636, 916/368 is 4898310.

LCM(23/770, 930/636, 916/368) = 4898310

LCM of 23/770, 930/636, 916/368

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 23/770,930/636,916/368

Given numbers are 23/770,930/636,916/368

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 23,930,916

Least Common Multiple of Numerators i.e. LCM of 23,930,916 is 9796620.

GCF of Denominators means GCF of 770,636,368 as per the given fractions.

GCF of 770,636,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,930,916

LCM of Fractions 23/770,930/636,916/368 is 4898310

2 23, 930, 916
23, 465, 458

∴ So the LCM of the given numbers is 2 x 23 x 465 x 458 = 9796620

Least Common Multiple of 23,930,916 with GCF Formula

Least Common Multiple of 23,930,916 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 23,930,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,930,916) = 1

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

GCF(23,930,916) x common factors =1 x 2 = 2

LCM(23,930,916) = ( 23 × 930 × 916 ) / 2

LCM(23,930,916) = 19593240 / 2

LCM(23,930,916) = 9796620


Lets's calculate GCF of 770,636,368

2 770, 636, 368
385, 318, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9796620/2

Therefore the LCM of Fractions 23/770,930/636,916/368 is 4898310

Greatest Common Factor of 770,636,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,636,368 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 770,636,368 . The biggest common factor number is the GCF number.
So the greatest common factor 770,636,368 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 23/770, 930/636, 916/368

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 23/770, 930/636, 916/368?

Answer: LCM of Numerators as per given numbers 23/770, 930/636, 916/368 is

LCM of Numerators i.e. for 23,930,916 is 9796620

GCF of denominators i.e. for 770,636,368 is 2.

Thus, LCM of Fractions is 4898310.Finally, LCM of Fractions for 23/770, 930/636, 916/368 is 4898310.