Least Common Multiple of 10/67, 754/42, 774/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/67, 754/42, 774/802 quickly i.e. 1458990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/67, 754/42, 774/802 is 1458990.

LCM(10/67, 754/42, 774/802) = 1458990

LCM of 10/67, 754/42, 774/802

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 10/67,754/42,774/802

Given numbers are 10/67,754/42,774/802

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 10,754,774

Least Common Multiple of Numerators i.e. LCM of 10,754,774 is 1458990.

GCF of Denominators means GCF of 67,42,802 as per the given fractions.

GCF of 67,42,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,754,774

LCM of Fractions 10/67,754/42,774/802 is 1458990

2 10, 754, 774
5, 377, 387

∴ So the LCM of the given numbers is 2 x 5 x 377 x 387 = 1458990

Least Common Multiple of 10,754,774 with GCF Formula

Least Common Multiple of 10,754,774 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 10,754,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,754,774) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,754,774) x common factors =2 x 2 = 4

LCM(10,754,774) = ( 10 × 754 × 774 ) / 4

LCM(10,754,774) = 5835960 / 4

LCM(10,754,774) = 1458990


Lets's calculate GCF of 67,42,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1458990/1

Therefore the LCM of Fractions 10/67,754/42,774/802 is 1458990

Greatest Common Factor of 67,42,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,42,802 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 67,42,802 . The biggest common factor number is the GCF number.
So the greatest common factor 67,42,802 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 10/67, 754/42, 774/802

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 10/67, 754/42, 774/802?

Answer: LCM of Numerators as per given numbers 10/67, 754/42, 774/802 is

LCM of Numerators i.e. for 10,754,774 is 1458990

GCF of denominators i.e. for 67,42,802 is 1.

Thus, LCM of Fractions is 1458990.Finally, LCM of Fractions for 10/67, 754/42, 774/802 is 1458990.