Least Common Multiple of 387/259, 452/754, 776/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 387/259, 452/754, 776/222 quickly i.e. 33935256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/259, 452/754, 776/222 is 33935256.

LCM(387/259, 452/754, 776/222) = 33935256

LCM of 387/259, 452/754, 776/222

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 387/259,452/754,776/222

Given numbers are 387/259,452/754,776/222

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 387,452,776

Least Common Multiple of Numerators i.e. LCM of 387,452,776 is 33935256.

GCF of Denominators means GCF of 259,754,222 as per the given fractions.

GCF of 259,754,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,452,776

LCM of Fractions 387/259,452/754,776/222 is 33935256

2 387, 452, 776
2 387, 226, 388
387, 113, 194

∴ So the LCM of the given numbers is 2 x 2 x 387 x 113 x 194 = 33935256

Least Common Multiple of 387,452,776 with GCF Formula

Least Common Multiple of 387,452,776 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 387,452,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,452,776) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(387,452,776) x common factors =1 x 4 = 4

LCM(387,452,776) = ( 387 × 452 × 776 ) / 4

LCM(387,452,776) = 135741024 / 4

LCM(387,452,776) = 33935256


Lets's calculate GCF of 259,754,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33935256/1

Therefore the LCM of Fractions 387/259,452/754,776/222 is 33935256

Greatest Common Factor of 259,754,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,754,222 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 259,754,222 . The biggest common factor number is the GCF number.
So the greatest common factor 259,754,222 is 1.


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Frequently Asked Questions on Fractional LCM of 387/259, 452/754, 776/222

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 387/259, 452/754, 776/222?

Answer: LCM of Numerators as per given numbers 387/259, 452/754, 776/222 is

LCM of Numerators i.e. for 387,452,776 is 33935256

GCF of denominators i.e. for 259,754,222 is 1.

Thus, LCM of Fractions is 33935256.Finally, LCM of Fractions for 387/259, 452/754, 776/222 is 33935256.