Least Common Multiple of 76/565, 140/602, 213/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/565, 140/602, 213/707 quickly i.e. 566580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/565, 140/602, 213/707 is 566580.

LCM(76/565, 140/602, 213/707) = 566580

LCM of 76/565, 140/602, 213/707

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 76/565,140/602,213/707

Given numbers are 76/565,140/602,213/707

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 76,140,213

Least Common Multiple of Numerators i.e. LCM of 76,140,213 is 566580.

GCF of Denominators means GCF of 565,602,707 as per the given fractions.

GCF of 565,602,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,140,213

LCM of Fractions 76/565,140/602,213/707 is 566580

2 76, 140, 213
2 38, 70, 213
19, 35, 213

∴ So the LCM of the given numbers is 2 x 2 x 19 x 35 x 213 = 566580

Least Common Multiple of 76,140,213 with GCF Formula

Least Common Multiple of 76,140,213 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 76,140,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,140,213) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,140,213) x common factors =1 x 4 = 4

LCM(76,140,213) = ( 76 × 140 × 213 ) / 4

LCM(76,140,213) = 2266320 / 4

LCM(76,140,213) = 566580


Lets's calculate GCF of 565,602,707

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566580/1

Therefore the LCM of Fractions 76/565,140/602,213/707 is 566580

Greatest Common Factor of 565,602,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,602,707 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 565,602,707 . The biggest common factor number is the GCF number.
So the greatest common factor 565,602,707 is 1.


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 76/565, 140/602, 213/707

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 76/565, 140/602, 213/707?

Answer: LCM of Numerators as per given numbers 76/565, 140/602, 213/707 is

LCM of Numerators i.e. for 76,140,213 is 566580

GCF of denominators i.e. for 565,602,707 is 1.

Thus, LCM of Fractions is 566580.Finally, LCM of Fractions for 76/565, 140/602, 213/707 is 566580.