Least Common Multiple of 98/244, 114/765, 648/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/244, 114/765, 648/632 quickly i.e. 603288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/244, 114/765, 648/632 is 603288.

LCM(98/244, 114/765, 648/632) = 603288

LCM of 98/244, 114/765, 648/632

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 98/244,114/765,648/632

Given numbers are 98/244,114/765,648/632

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 98,114,648

Least Common Multiple of Numerators i.e. LCM of 98,114,648 is 603288.

GCF of Denominators means GCF of 244,765,632 as per the given fractions.

GCF of 244,765,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,114,648

LCM of Fractions 98/244,114/765,648/632 is 603288

2 98, 114, 648
3 49, 57, 324
49, 19, 108

∴ So the LCM of the given numbers is 2 x 3 x 49 x 19 x 108 = 603288

Least Common Multiple of 98,114,648 with GCF Formula

Least Common Multiple of 98,114,648 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 98,114,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,114,648) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(98,114,648) x common factors =2 x 6 = 12

LCM(98,114,648) = ( 98 × 114 × 648 ) / 12

LCM(98,114,648) = 7239456 / 12

LCM(98,114,648) = 603288


Lets's calculate GCF of 244,765,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603288/1

Therefore the LCM of Fractions 98/244,114/765,648/632 is 603288

Greatest Common Factor of 244,765,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,765,632 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 244,765,632 . The biggest common factor number is the GCF number.
So the greatest common factor 244,765,632 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/244, 114/765, 648/632

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 98/244, 114/765, 648/632?

Answer: LCM of Numerators as per given numbers 98/244, 114/765, 648/632 is

LCM of Numerators i.e. for 98,114,648 is 603288

GCF of denominators i.e. for 244,765,632 is 1.

Thus, LCM of Fractions is 603288.Finally, LCM of Fractions for 98/244, 114/765, 648/632 is 603288.