Least Common Multiple of 528/235, 658/414, 776/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/235, 658/414, 776/748 quickly i.e. 16850064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/235, 658/414, 776/748 is 16850064.

LCM(528/235, 658/414, 776/748) = 16850064

LCM of 528/235, 658/414, 776/748

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 528/235,658/414,776/748

Given numbers are 528/235,658/414,776/748

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 528,658,776

Least Common Multiple of Numerators i.e. LCM of 528,658,776 is 16850064.

GCF of Denominators means GCF of 235,414,748 as per the given fractions.

GCF of 235,414,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,658,776

LCM of Fractions 528/235,658/414,776/748 is 16850064

2 528, 658, 776
2 264, 329, 388
2 132, 329, 194
66, 329, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 66 x 329 x 97 = 16850064

Least Common Multiple of 528,658,776 with GCF Formula

Least Common Multiple of 528,658,776 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 528,658,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,658,776) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(528,658,776) x common factors =2 x 8 = 16

LCM(528,658,776) = ( 528 × 658 × 776 ) / 16

LCM(528,658,776) = 269601024 / 16

LCM(528,658,776) = 16850064


Lets's calculate GCF of 235,414,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16850064/1

Therefore the LCM of Fractions 528/235,658/414,776/748 is 16850064

Greatest Common Factor of 235,414,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,414,748 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 235,414,748 . The biggest common factor number is the GCF number.
So the greatest common factor 235,414,748 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 528/235, 658/414, 776/748

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 528/235, 658/414, 776/748?

Answer: LCM of Numerators as per given numbers 528/235, 658/414, 776/748 is

LCM of Numerators i.e. for 528,658,776 is 16850064

GCF of denominators i.e. for 235,414,748 is 1.

Thus, LCM of Fractions is 16850064.Finally, LCM of Fractions for 528/235, 658/414, 776/748 is 16850064.