Least Common Multiple of 4076/730, 7801/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4076/730, 7801/924 quickly i.e. 15898438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4076/730, 7801/924 is 15898438.

LCM(4076/730, 7801/924) = 15898438

LCM of 4076/730, 7801/924

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 4076/730,7801/924

Given numbers are 4076/730,7801/924

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 4076,7801

Least Common Multiple of Numerators i.e. LCM of 4076,7801 is 31796876.

GCF of Denominators means GCF of 730,924 as per the given fractions.

GCF of 730,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4076,7801

LCM of Fractions 4076/730,7801/924 is 15898438

Given numbers has no common factors except 1. So, there LCM is their product i.e 31796876

Least Common Multiple of 4076,7801 with GCF Formula

Least Common Multiple of 4076,7801 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 4076,7801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4076,7801) = 1

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

GCF(4076,7801) x common factors =1 x 1 = 1

LCM(4076,7801) = ( 4076 × 7801 ) / 1

LCM(4076,7801) = 31796876 / 1

LCM(4076,7801) = 31796876


Lets's calculate GCF of 730,924

2 730, 924
365, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31796876/2

Therefore the LCM of Fractions 4076/730,7801/924 is 15898438

Greatest Common Factor of 730,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,924 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

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

Greatest Common Factor

We found the factors 730,924 . The biggest common factor number is the GCF number.
So the greatest common factor 730,924 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4076/730, 7801/924

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 4076/730, 7801/924?

Answer: LCM of Numerators as per given numbers 4076/730, 7801/924 is

LCM of Numerators i.e. for 4076,7801 is 31796876

GCF of denominators i.e. for 730,924 is 2.

Thus, LCM of Fractions is 15898438.Finally, LCM of Fractions for 4076/730, 7801/924 is 15898438.