Least Common Multiple of 945/62, 807/64, 784/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/62, 807/64, 784/562 quickly i.e. 14235480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/62, 807/64, 784/562 is 14235480.

LCM(945/62, 807/64, 784/562) = 14235480

LCM of 945/62, 807/64, 784/562

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 945/62,807/64,784/562

Given numbers are 945/62,807/64,784/562

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 945,807,784

Least Common Multiple of Numerators i.e. LCM of 945,807,784 is 28470960.

GCF of Denominators means GCF of 62,64,562 as per the given fractions.

GCF of 62,64,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,807,784

LCM of Fractions 945/62,807/64,784/562 is 14235480

3 945, 807, 784
7 315, 269, 784
45, 269, 112

∴ So the LCM of the given numbers is 3 x 7 x 45 x 269 x 112 = 28470960

Least Common Multiple of 945,807,784 with GCF Formula

Least Common Multiple of 945,807,784 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 945,807,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,807,784) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(945,807,784) x common factors =1 x 21 = 21

LCM(945,807,784) = ( 945 × 807 × 784 ) / 21

LCM(945,807,784) = 597890160 / 21

LCM(945,807,784) = 28470960


Lets's calculate GCF of 62,64,562

2 62, 64, 562
31, 32, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28470960/2

Therefore the LCM of Fractions 945/62,807/64,784/562 is 14235480

Greatest Common Factor of 62,64,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,64,562 By Matching Biggest Common Factor Method

Factors of 62

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

1,2,31,62

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 62,64,562 . The biggest common factor number is the GCF number.
So the greatest common factor 62,64,562 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 945/62, 807/64, 784/562

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 945/62, 807/64, 784/562?

Answer: LCM of Numerators as per given numbers 945/62, 807/64, 784/562 is

LCM of Numerators i.e. for 945,807,784 is 28470960

GCF of denominators i.e. for 62,64,562 is 2.

Thus, LCM of Fractions is 14235480.Finally, LCM of Fractions for 945/62, 807/64, 784/562 is 14235480.