Least Common Multiple of 736/91, 748/67, 828/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/91, 748/67, 828/653 quickly i.e. 1238688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/91, 748/67, 828/653 is 1238688.

LCM(736/91, 748/67, 828/653) = 1238688

LCM of 736/91, 748/67, 828/653

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 736/91,748/67,828/653

Given numbers are 736/91,748/67,828/653

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 736,748,828

Least Common Multiple of Numerators i.e. LCM of 736,748,828 is 1238688.

GCF of Denominators means GCF of 91,67,653 as per the given fractions.

GCF of 91,67,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,748,828

LCM of Fractions 736/91,748/67,828/653 is 1238688

2 736, 748, 828
2 368, 374, 414
23 184, 187, 207
8, 187, 9

∴ So the LCM of the given numbers is 2 x 2 x 23 x 8 x 187 x 9 = 1238688

Least Common Multiple of 736,748,828 with GCF Formula

Least Common Multiple of 736,748,828 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 736,748,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,748,828) = 4

common factors(in case of two or more numbers have common factors) = 92

GCF(736,748,828) x common factors =4 x 92 = 368

LCM(736,748,828) = ( 736 × 748 × 828 ) / 368

LCM(736,748,828) = 455837184 / 368

LCM(736,748,828) = 1238688


Lets's calculate GCF of 91,67,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1238688/1

Therefore the LCM of Fractions 736/91,748/67,828/653 is 1238688

Greatest Common Factor of 91,67,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,67,653 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 67

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

1,67

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 91,67,653 . The biggest common factor number is the GCF number.
So the greatest common factor 91,67,653 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 736/91, 748/67, 828/653

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 736/91, 748/67, 828/653?

Answer: LCM of Numerators as per given numbers 736/91, 748/67, 828/653 is

LCM of Numerators i.e. for 736,748,828 is 1238688

GCF of denominators i.e. for 91,67,653 is 1.

Thus, LCM of Fractions is 1238688.Finally, LCM of Fractions for 736/91, 748/67, 828/653 is 1238688.