Least Common Multiple of 68/918, 391/194, 355/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/918, 391/194, 355/851 quickly i.e. 555220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/918, 391/194, 355/851 is 555220.

LCM(68/918, 391/194, 355/851) = 555220

LCM of 68/918, 391/194, 355/851

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 68/918,391/194,355/851

Given numbers are 68/918,391/194,355/851

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 68,391,355

Least Common Multiple of Numerators i.e. LCM of 68,391,355 is 555220.

GCF of Denominators means GCF of 918,194,851 as per the given fractions.

GCF of 918,194,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,391,355

LCM of Fractions 68/918,391/194,355/851 is 555220

17 68, 391, 355
4, 23, 355

∴ So the LCM of the given numbers is 17 x 4 x 23 x 355 = 555220

Least Common Multiple of 68,391,355 with GCF Formula

Least Common Multiple of 68,391,355 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 68,391,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,391,355) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(68,391,355) x common factors =1 x 17 = 17

LCM(68,391,355) = ( 68 × 391 × 355 ) / 17

LCM(68,391,355) = 9438740 / 17

LCM(68,391,355) = 555220


Lets's calculate GCF of 918,194,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555220/1

Therefore the LCM of Fractions 68/918,391/194,355/851 is 555220

Greatest Common Factor of 918,194,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,194,851 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 918,194,851 . The biggest common factor number is the GCF number.
So the greatest common factor 918,194,851 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/918, 391/194, 355/851

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 68/918, 391/194, 355/851?

Answer: LCM of Numerators as per given numbers 68/918, 391/194, 355/851 is

LCM of Numerators i.e. for 68,391,355 is 555220

GCF of denominators i.e. for 918,194,851 is 1.

Thus, LCM of Fractions is 555220.Finally, LCM of Fractions for 68/918, 391/194, 355/851 is 555220.