Least Common Multiple of 88/68, 56/466, 425/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/68, 56/466, 425/790 quickly i.e. 130900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/68, 56/466, 425/790 is 130900.

LCM(88/68, 56/466, 425/790) = 130900

LCM of 88/68, 56/466, 425/790

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 88/68,56/466,425/790

Given numbers are 88/68,56/466,425/790

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 88,56,425

Least Common Multiple of Numerators i.e. LCM of 88,56,425 is 261800.

GCF of Denominators means GCF of 68,466,790 as per the given fractions.

GCF of 68,466,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,56,425

LCM of Fractions 88/68,56/466,425/790 is 130900

2 88, 56, 425
2 44, 28, 425
2 22, 14, 425
11, 7, 425

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 425 = 261800

Least Common Multiple of 88,56,425 with GCF Formula

Least Common Multiple of 88,56,425 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 88,56,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,56,425) = 1

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

GCF(88,56,425) x common factors =1 x 8 = 8

LCM(88,56,425) = ( 88 × 56 × 425 ) / 8

LCM(88,56,425) = 2094400 / 8

LCM(88,56,425) = 261800


Lets's calculate GCF of 68,466,790

2 68, 466, 790
34, 233, 395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261800/2

Therefore the LCM of Fractions 88/68,56/466,425/790 is 130900

Greatest Common Factor of 68,466,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,466,790 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 68,466,790 . The biggest common factor number is the GCF number.
So the greatest common factor 68,466,790 is 2.


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Frequently Asked Questions on Fractional LCM of 88/68, 56/466, 425/790

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 88/68, 56/466, 425/790?

Answer: LCM of Numerators as per given numbers 88/68, 56/466, 425/790 is

LCM of Numerators i.e. for 88,56,425 is 261800

GCF of denominators i.e. for 68,466,790 is 2.

Thus, LCM of Fractions is 130900.Finally, LCM of Fractions for 88/68, 56/466, 425/790 is 130900.