Least Common Multiple of 729/776, 882/196, 755/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/776, 882/196, 755/464 quickly i.e. 53938710/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/776, 882/196, 755/464 is 53938710/4.

LCM(729/776, 882/196, 755/464) = 53938710/4

LCM of 729/776, 882/196, 755/464

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 729/776,882/196,755/464

Given numbers are 729/776,882/196,755/464

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 729,882,755

Least Common Multiple of Numerators i.e. LCM of 729,882,755 is 53938710.

GCF of Denominators means GCF of 776,196,464 as per the given fractions.

GCF of 776,196,464 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,882,755

LCM of Fractions 729/776,882/196,755/464 is 53938710/4

3 729, 882, 755
3 243, 294, 755
81, 98, 755

∴ So the LCM of the given numbers is 3 x 3 x 81 x 98 x 755 = 53938710

Least Common Multiple of 729,882,755 with GCF Formula

Least Common Multiple of 729,882,755 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 729,882,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,882,755) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(729,882,755) x common factors =1 x 9 = 9

LCM(729,882,755) = ( 729 × 882 × 755 ) / 9

LCM(729,882,755) = 485448390 / 9

LCM(729,882,755) = 53938710


Lets's calculate GCF of 776,196,464

2 776, 196, 464
2 388, 98, 232
194, 49, 116

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53938710/4

Therefore the LCM of Fractions 729/776,882/196,755/464 is 53938710/4

Greatest Common Factor of 776,196,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,196,464 By Matching Biggest Common Factor Method

Factors of 776

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

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

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 776,196,464 . The biggest common factor number is the GCF number.
So the greatest common factor 776,196,464 is 4.


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 729/776, 882/196, 755/464

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 729/776, 882/196, 755/464?

Answer: LCM of Numerators as per given numbers 729/776, 882/196, 755/464 is

LCM of Numerators i.e. for 729,882,755 is 53938710

GCF of denominators i.e. for 776,196,464 is 4.

Thus, LCM of Fractions is 53938710/4.Finally, LCM of Fractions for 729/776, 882/196, 755/464 is 53938710/4.