Least Common Multiple of 1765/924, 9635/3773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1765/924, 9635/3773 quickly i.e. 3401155/77 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1765/924, 9635/3773 is 3401155/77.

LCM(1765/924, 9635/3773) = 3401155/77

LCM of 1765/924, 9635/3773

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 1765/924,9635/3773

Given numbers are 1765/924,9635/3773

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 1765,9635

Least Common Multiple of Numerators i.e. LCM of 1765,9635 is 3401155.

GCF of Denominators means GCF of 924,3773 as per the given fractions.

GCF of 924,3773 is 77 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1765,9635

LCM of Fractions 1765/924,9635/3773 is 3401155/77

5 1765, 9635
353, 1927

∴ So the LCM of the given numbers is 5 x 353 x 1927 = 3401155

Least Common Multiple of 1765,9635 with GCF Formula

Least Common Multiple of 1765,9635 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 1765,9635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1765,9635) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(1765,9635) x common factors =5 x 1 = 5

LCM(1765,9635) = ( 1765 × 9635 ) / 5

LCM(1765,9635) = 17005775 / 5

LCM(1765,9635) = 3401155


Lets's calculate GCF of 924,3773

7 924, 3773
11 132, 539
12, 49

∴ So the GCF of the given numbers is 7 x 11 = 77

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3401155/77

Therefore the LCM of Fractions 1765/924,9635/3773 is 3401155/77

Greatest Common Factor of 924,3773 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,3773 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 3773

List of positive integer factors of 3773 that divides 3773 without a remainder.

1,7,11,49,77,343,539,3773

Greatest Common Factor

We found the factors 924,3773 . The biggest common factor number is the GCF number.
So the greatest common factor 924,3773 is 77.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1765/924, 9635/3773

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 1765/924, 9635/3773?

Answer: LCM of Numerators as per given numbers 1765/924, 9635/3773 is

LCM of Numerators i.e. for 1765,9635 is 3401155

GCF of denominators i.e. for 924,3773 is 77.

Thus, LCM of Fractions is 3401155/77.Finally, LCM of Fractions for 1765/924, 9635/3773 is 3401155/77.