Least Common Multiple of 64/70, 784/62, 605/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/70, 784/62, 605/950 quickly i.e. 948640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/70, 784/62, 605/950 is 948640.

LCM(64/70, 784/62, 605/950) = 948640

LCM of 64/70, 784/62, 605/950

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 64/70,784/62,605/950

Given numbers are 64/70,784/62,605/950

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 64,784,605

Least Common Multiple of Numerators i.e. LCM of 64,784,605 is 1897280.

GCF of Denominators means GCF of 70,62,950 as per the given fractions.

GCF of 70,62,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,784,605

LCM of Fractions 64/70,784/62,605/950 is 948640

2 64, 784, 605
2 32, 392, 605
2 16, 196, 605
2 8, 98, 605
4, 49, 605

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 49 x 605 = 1897280

Least Common Multiple of 64,784,605 with GCF Formula

Least Common Multiple of 64,784,605 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 64,784,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,784,605) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(64,784,605) x common factors =1 x 16 = 16

LCM(64,784,605) = ( 64 × 784 × 605 ) / 16

LCM(64,784,605) = 30356480 / 16

LCM(64,784,605) = 1897280


Lets's calculate GCF of 70,62,950

2 70, 62, 950
35, 31, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1897280/2

Therefore the LCM of Fractions 64/70,784/62,605/950 is 948640

Greatest Common Factor of 70,62,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,62,950 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 62

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

1,2,31,62

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 70,62,950 . The biggest common factor number is the GCF number.
So the greatest common factor 70,62,950 is 2.


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Frequently Asked Questions on Fractional LCM of 64/70, 784/62, 605/950

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 64/70, 784/62, 605/950?

Answer: LCM of Numerators as per given numbers 64/70, 784/62, 605/950 is

LCM of Numerators i.e. for 64,784,605 is 1897280

GCF of denominators i.e. for 70,62,950 is 2.

Thus, LCM of Fractions is 948640.Finally, LCM of Fractions for 64/70, 784/62, 605/950 is 948640.