Least Common Multiple of 388/94, 194/46, 980/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 388/94, 194/46, 980/759 quickly i.e. 95060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/94, 194/46, 980/759 is 95060.

LCM(388/94, 194/46, 980/759) = 95060

LCM of 388/94, 194/46, 980/759

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 388/94,194/46,980/759

Given numbers are 388/94,194/46,980/759

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 388,194,980

Least Common Multiple of Numerators i.e. LCM of 388,194,980 is 95060.

GCF of Denominators means GCF of 94,46,759 as per the given fractions.

GCF of 94,46,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,194,980

LCM of Fractions 388/94,194/46,980/759 is 95060

2 388, 194, 980
2 194, 97, 490
97 97, 97, 245
1, 1, 245

∴ So the LCM of the given numbers is 2 x 2 x 97 x 1 x 1 x 245 = 95060

Least Common Multiple of 388,194,980 with GCF Formula

Least Common Multiple of 388,194,980 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 388,194,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,194,980) = 2

common factors(in case of two or more numbers have common factors) = 388

GCF(388,194,980) x common factors =2 x 388 = 776

LCM(388,194,980) = ( 388 × 194 × 980 ) / 776

LCM(388,194,980) = 73766560 / 776

LCM(388,194,980) = 95060


Lets's calculate GCF of 94,46,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95060/1

Therefore the LCM of Fractions 388/94,194/46,980/759 is 95060

Greatest Common Factor of 94,46,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,46,759 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 94,46,759 . The biggest common factor number is the GCF number.
So the greatest common factor 94,46,759 is 1.


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Frequently Asked Questions on Fractional LCM of 388/94, 194/46, 980/759

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 388/94, 194/46, 980/759?

Answer: LCM of Numerators as per given numbers 388/94, 194/46, 980/759 is

LCM of Numerators i.e. for 388,194,980 is 95060

GCF of denominators i.e. for 94,46,759 is 1.

Thus, LCM of Fractions is 95060.Finally, LCM of Fractions for 388/94, 194/46, 980/759 is 95060.