Least Common Multiple of 98/262, 76/916, 170/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/262, 76/916, 170/497 quickly i.e. 316540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/262, 76/916, 170/497 is 316540.

LCM(98/262, 76/916, 170/497) = 316540

LCM of 98/262, 76/916, 170/497

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 98/262,76/916,170/497

Given numbers are 98/262,76/916,170/497

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 98,76,170

Least Common Multiple of Numerators i.e. LCM of 98,76,170 is 316540.

GCF of Denominators means GCF of 262,916,497 as per the given fractions.

GCF of 262,916,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,76,170

LCM of Fractions 98/262,76/916,170/497 is 316540

2 98, 76, 170
49, 38, 85

∴ So the LCM of the given numbers is 2 x 49 x 38 x 85 = 316540

Least Common Multiple of 98,76,170 with GCF Formula

Least Common Multiple of 98,76,170 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 98,76,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,76,170) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(98,76,170) x common factors =2 x 2 = 4

LCM(98,76,170) = ( 98 × 76 × 170 ) / 4

LCM(98,76,170) = 1266160 / 4

LCM(98,76,170) = 316540


Lets's calculate GCF of 262,916,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316540/1

Therefore the LCM of Fractions 98/262,76/916,170/497 is 316540

Greatest Common Factor of 262,916,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,916,497 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 262,916,497 . The biggest common factor number is the GCF number.
So the greatest common factor 262,916,497 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/262, 76/916, 170/497

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 98/262, 76/916, 170/497?

Answer: LCM of Numerators as per given numbers 98/262, 76/916, 170/497 is

LCM of Numerators i.e. for 98,76,170 is 316540

GCF of denominators i.e. for 262,916,497 is 1.

Thus, LCM of Fractions is 316540.Finally, LCM of Fractions for 98/262, 76/916, 170/497 is 316540.