Least Common Multiple of 2070/962, 7090/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2070/962, 7090/964 quickly i.e. 733815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2070/962, 7090/964 is 733815.

LCM(2070/962, 7090/964) = 733815

LCM of 2070/962, 7090/964

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 2070/962,7090/964

Given numbers are 2070/962,7090/964

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 2070,7090

Least Common Multiple of Numerators i.e. LCM of 2070,7090 is 1467630.

GCF of Denominators means GCF of 962,964 as per the given fractions.

GCF of 962,964 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2070,7090

LCM of Fractions 2070/962,7090/964 is 733815

2 2070, 7090
5 1035, 3545
207, 709

∴ So the LCM of the given numbers is 2 x 5 x 207 x 709 = 1467630

Least Common Multiple of 2070,7090 with GCF Formula

Least Common Multiple of 2070,7090 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 2070,7090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2070,7090) = 10

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

GCF(2070,7090) x common factors =10 x 1 = 10

LCM(2070,7090) = ( 2070 × 7090 ) / 10

LCM(2070,7090) = 14676300 / 10

LCM(2070,7090) = 1467630


Lets's calculate GCF of 962,964

2 962, 964
481, 482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1467630/2

Therefore the LCM of Fractions 2070/962,7090/964 is 733815

Greatest Common Factor of 962,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,964 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 962,964 . The biggest common factor number is the GCF number.
So the greatest common factor 962,964 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 2070/962, 7090/964

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 2070/962, 7090/964?

Answer: LCM of Numerators as per given numbers 2070/962, 7090/964 is

LCM of Numerators i.e. for 2070,7090 is 1467630

GCF of denominators i.e. for 962,964 is 2.

Thus, LCM of Fractions is 733815.Finally, LCM of Fractions for 2070/962, 7090/964 is 733815.