Least Common Multiple of 214/946, 280/916, 888/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/946, 280/916, 888/664 quickly i.e. 1662780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/946, 280/916, 888/664 is 1662780.

LCM(214/946, 280/916, 888/664) = 1662780

LCM of 214/946, 280/916, 888/664

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 214/946,280/916,888/664

Given numbers are 214/946,280/916,888/664

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 214,280,888

Least Common Multiple of Numerators i.e. LCM of 214,280,888 is 3325560.

GCF of Denominators means GCF of 946,916,664 as per the given fractions.

GCF of 946,916,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,280,888

LCM of Fractions 214/946,280/916,888/664 is 1662780

2 214, 280, 888
2 107, 140, 444
2 107, 70, 222
107, 35, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 35 x 111 = 3325560

Least Common Multiple of 214,280,888 with GCF Formula

Least Common Multiple of 214,280,888 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 214,280,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,280,888) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(214,280,888) x common factors =2 x 8 = 16

LCM(214,280,888) = ( 214 × 280 × 888 ) / 16

LCM(214,280,888) = 53208960 / 16

LCM(214,280,888) = 3325560


Lets's calculate GCF of 946,916,664

2 946, 916, 664
473, 458, 332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3325560/2

Therefore the LCM of Fractions 214/946,280/916,888/664 is 1662780

Greatest Common Factor of 946,916,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,916,664 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 946,916,664 . The biggest common factor number is the GCF number.
So the greatest common factor 946,916,664 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 214/946, 280/916, 888/664

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 214/946, 280/916, 888/664?

Answer: LCM of Numerators as per given numbers 214/946, 280/916, 888/664 is

LCM of Numerators i.e. for 214,280,888 is 3325560

GCF of denominators i.e. for 946,916,664 is 2.

Thus, LCM of Fractions is 1662780.Finally, LCM of Fractions for 214/946, 280/916, 888/664 is 1662780.