Least Common Multiple of 358/98, 467/15, 990/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 358/98, 467/15, 990/648 quickly i.e. 82757070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/98, 467/15, 990/648 is 82757070.

LCM(358/98, 467/15, 990/648) = 82757070

LCM of 358/98, 467/15, 990/648

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 358/98,467/15,990/648

Given numbers are 358/98,467/15,990/648

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 358,467,990

Least Common Multiple of Numerators i.e. LCM of 358,467,990 is 82757070.

GCF of Denominators means GCF of 98,15,648 as per the given fractions.

GCF of 98,15,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,467,990

LCM of Fractions 358/98,467/15,990/648 is 82757070

2 358, 467, 990
179, 467, 495

∴ So the LCM of the given numbers is 2 x 179 x 467 x 495 = 82757070

Least Common Multiple of 358,467,990 with GCF Formula

Least Common Multiple of 358,467,990 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 358,467,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,467,990) = 1

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

GCF(358,467,990) x common factors =1 x 2 = 2

LCM(358,467,990) = ( 358 × 467 × 990 ) / 2

LCM(358,467,990) = 165514140 / 2

LCM(358,467,990) = 82757070


Lets's calculate GCF of 98,15,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82757070/1

Therefore the LCM of Fractions 358/98,467/15,990/648 is 82757070

Greatest Common Factor of 98,15,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,15,648 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 98,15,648 . The biggest common factor number is the GCF number.
So the greatest common factor 98,15,648 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 358/98, 467/15, 990/648

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 358/98, 467/15, 990/648?

Answer: LCM of Numerators as per given numbers 358/98, 467/15, 990/648 is

LCM of Numerators i.e. for 358,467,990 is 82757070

GCF of denominators i.e. for 98,15,648 is 1.

Thus, LCM of Fractions is 82757070.Finally, LCM of Fractions for 358/98, 467/15, 990/648 is 82757070.