Least Common Multiple of 70/99, 603/51, 942/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/99, 603/51, 942/705 quickly i.e. 2208990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/99, 603/51, 942/705 is 2208990.

LCM(70/99, 603/51, 942/705) = 2208990

LCM of 70/99, 603/51, 942/705

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 70/99,603/51,942/705

Given numbers are 70/99,603/51,942/705

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 70,603,942

Least Common Multiple of Numerators i.e. LCM of 70,603,942 is 6626970.

GCF of Denominators means GCF of 99,51,705 as per the given fractions.

GCF of 99,51,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,603,942

LCM of Fractions 70/99,603/51,942/705 is 2208990

2 70, 603, 942
3 35, 603, 471
35, 201, 157

∴ So the LCM of the given numbers is 2 x 3 x 35 x 201 x 157 = 6626970

Least Common Multiple of 70,603,942 with GCF Formula

Least Common Multiple of 70,603,942 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 70,603,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,603,942) = 1

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

GCF(70,603,942) x common factors =1 x 6 = 6

LCM(70,603,942) = ( 70 × 603 × 942 ) / 6

LCM(70,603,942) = 39761820 / 6

LCM(70,603,942) = 6626970


Lets's calculate GCF of 99,51,705

3 99, 51, 705
33, 17, 235

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6626970/3

Therefore the LCM of Fractions 70/99,603/51,942/705 is 2208990

Greatest Common Factor of 99,51,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,51,705 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 99,51,705 . The biggest common factor number is the GCF number.
So the greatest common factor 99,51,705 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/99, 603/51, 942/705

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 70/99, 603/51, 942/705?

Answer: LCM of Numerators as per given numbers 70/99, 603/51, 942/705 is

LCM of Numerators i.e. for 70,603,942 is 6626970

GCF of denominators i.e. for 99,51,705 is 3.

Thus, LCM of Fractions is 2208990.Finally, LCM of Fractions for 70/99, 603/51, 942/705 is 2208990.