Least Common Multiple of 43/98, 78/62, 535/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/98, 78/62, 535/562 quickly i.e. 897195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/98, 78/62, 535/562 is 897195.

LCM(43/98, 78/62, 535/562) = 897195

LCM of 43/98, 78/62, 535/562

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 43/98,78/62,535/562

Given numbers are 43/98,78/62,535/562

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 43,78,535

Least Common Multiple of Numerators i.e. LCM of 43,78,535 is 1794390.

GCF of Denominators means GCF of 98,62,562 as per the given fractions.

GCF of 98,62,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,78,535

LCM of Fractions 43/98,78/62,535/562 is 897195

Given numbers has no common factors except 1. So, there LCM is their product i.e 1794390

Least Common Multiple of 43,78,535 with GCF Formula

Least Common Multiple of 43,78,535 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 43,78,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,78,535) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,78,535) x common factors =1 x 1 = 1

LCM(43,78,535) = ( 43 × 78 × 535 ) / 1

LCM(43,78,535) = 1794390 / 1

LCM(43,78,535) = 1794390


Lets's calculate GCF of 98,62,562

2 98, 62, 562
49, 31, 281

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1794390/2

Therefore the LCM of Fractions 43/98,78/62,535/562 is 897195

Greatest Common Factor of 98,62,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,62,562 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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 98,62,562 . The biggest common factor number is the GCF number.
So the greatest common factor 98,62,562 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/98, 78/62, 535/562

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 43/98, 78/62, 535/562?

Answer: LCM of Numerators as per given numbers 43/98, 78/62, 535/562 is

LCM of Numerators i.e. for 43,78,535 is 1794390

GCF of denominators i.e. for 98,62,562 is 2.

Thus, LCM of Fractions is 897195.Finally, LCM of Fractions for 43/98, 78/62, 535/562 is 897195.